401302400 has 48 divisors (see below), whose sum is σ = 991350240. Its totient is φ = 160519680.

The previous prime is 401302393. The next prime is 401302411. The reversal of 401302400 is 4203104.

It is a super-2 number, since 2×401302400² = 322087232491520000, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 59504 + ... + 65903.

It is an arithmetic number, because the mean of its divisors is an integer number (20653130).

Almost surely, 2^401302400 is an apocalyptic number.

401302400 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

401302400 is an abundant number, since it is smaller than the sum of its proper divisors (590047840).

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

401302400 is a wasteful number, since it uses less digits than its factorization.

401302400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 125431 (or 125414 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 14.

The square root of 401302400 is about 20032.5335392206. The cubic root of 401302400 is about 737.6051138121.

Adding to 401302400 its reverse (4203104), we get a palindrome (405505504).

The spelling of 401302400 in words is "four hundred one million, three hundred two thousand, four hundred".