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401442400 = 2552501803
BaseRepresentation
bin10111111011011…
…000011001100000
31000222101101110001
4113323120121200
51310232124100
6103500145344
712643130002
oct2773303140
91028341401
10401442400
11196670687
12b2538254
1365227ca8
143b45c372
152539ad6a
hex17ed8660

401442400 has 36 divisors (see below), whose sum is σ = 980023212. Its totient is φ = 160576640.

The previous prime is 401442361. The next prime is 401442401. The reversal of 401442400 is 4244104.

It is a super-2 number, since 2×4014424002 = 322312001035520000, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (401442401) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 250102 + ... + 251701.

It is an arithmetic number, because the mean of its divisors is an integer number (27222867).

Almost surely, 2401442400 is an apocalyptic number.

401442400 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

401442400 is an abundant number, since it is smaller than the sum of its proper divisors (578580812).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

401442400 is a wasteful number, since it uses less digits than its factorization.

401442400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 501823 (or 501810 counting only the distinct ones).

The product of its (nonzero) digits is 512, while the sum is 19.

The square root of 401442400 is about 20036.0275503903. The cubic root of 401442400 is about 737.6908784872.

Adding to 401442400 its reverse (4244104), we get a palindrome (405686504).

The spelling of 401442400 in words is "four hundred one million, four hundred forty-two thousand, four hundred".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 80 100 160 200 400 800 501803 1003606 2007212 2509015 4014424 5018030 8028848 10036060 12545075 16057696 20072120 25090150 40144240 50180300 80288480 100360600 200721200 401442400