426008400 has 60 divisors (see below), whose sum is σ = 1364650752. Its totient is φ = 113601920.

The previous prime is 426008399. The next prime is 426008411. The reversal of 426008400 is 4800624.

It is a tau number, because it is divible by the number of its divisors (60).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 176304 + ... + 178703.

Almost surely, 2^426008400 is an apocalyptic number.

426008400 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

426008400 is an abundant number, since it is smaller than the sum of its proper divisors (938642352).

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

426008400 is a wasteful number, since it uses less digits than its factorization.

426008400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 355028 (or 355017 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 24.

The square root of 426008400 is about 20639.9709302121. The cubic root of 426008400 is about 752.4414659238.

The spelling of 426008400 in words is "four hundred twenty-six million, eight thousand, four hundred".