426582072 has 256 divisors, whose sum is σ = 1474560000. Its totient is φ = 111507840.

The previous prime is 426582047. The next prime is 426582137. The reversal of 426582072 is 270285624.

426582072 is a `hidden beast` number, since 4 + 2 + 6 + 582 + 0 + 72 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 890329 + ... + 890807.

It is an arithmetic number, because the mean of its divisors is an integer number (5760000).

Almost surely, 2^426582072 is an apocalyptic number.

426582072 is a gapful number since it is divisible by the number (42) 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 426582072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (737280000).

426582072 is an abundant number, since it is smaller than the sum of its proper divisors (1047977928).

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

426582072 is a wasteful number, since it uses less digits than its factorization.

426582072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 551 (or 541 counting only the distinct ones).

The product of its (nonzero) digits is 53760, while the sum is 36.

The square root of 426582072 is about 20653.8633674187. The cubic root of 426582072 is about 752.7790656730.

The spelling of 426582072 in words is "four hundred twenty-six million, five hundred eighty-two thousand, seventy-two".