426057600 has 96 divisors (see below), whose sum is σ = 1403358840. Its totient is φ = 113612800.

The previous prime is 426057571. The next prime is 426057601. The reversal of 426057600 is 6750624.

It is a tau number, because it is divible by the number of its divisors (96).

It is a hoax number, since the sum of its digits (30) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (426057601) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 12591 + ... + 31790.

Almost surely, 2^426057600 is an apocalyptic number.

426057600 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

426057600 is an abundant number, since it is smaller than the sum of its proper divisors (977301240).

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

426057600 is a wasteful number, since it uses less digits than its factorization.

426057600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 44408 (or 44391 counting only the distinct ones).

The product of its (nonzero) digits is 10080, while the sum is 30.

The square root of 426057600 is about 20641.1627579456. The cubic root of 426057600 is about 752.4704314677.

It can be divided in two parts, 42605 and 7600, that added together give a palindrome (50205).

The spelling of 426057600 in words is "four hundred twenty-six million, fifty-seven thousand, six hundred".