421251840 has 360 divisors, whose sum is σ = 1602659520. Its totient is φ = 105283584.

The previous prime is 421251833. The next prime is 421251841. The reversal of 421251840 is 48152124.

It is a tau number, because it is divible by the number of its divisors (360).

It is a super-2 number, since 2×421251840² = 354906225406771200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (421251841) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 1762441 + ... + 1762679.

It is an arithmetic number, because the mean of its divisors is an integer number (4451832).

Almost surely, 2^421251840 is an apocalyptic number.

421251840 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 421251840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (801329760).

421251840 is an abundant number, since it is smaller than the sum of its proper divisors (1181407680).

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

421251840 is a wasteful number, since it uses less digits than its factorization.

421251840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 289 (or 266 counting only the distinct ones).

The product of its (nonzero) digits is 2560, while the sum is 27.

The square root of 421251840 is about 20524.4205764743. The cubic root of 421251840 is about 749.6305380270.

The spelling of 421251840 in words is "four hundred twenty-one million, two hundred fifty-one thousand, eight hundred forty".