426622400 has 84 divisors (see below), whose sum is σ = 1095493872. Its totient is φ = 163215360.

The previous prime is 426622379. The next prime is 426622421. The reversal of 426622400 is 4226624.

It is an interprime number because it is at equal distance from previous prime (426622379) and next prime (426622421).

It is a self number, because there is not a number n which added to its sum of digits gives 426622400.

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, 31004 + ... + 42596.

Almost surely, 2^426622400 is an apocalyptic number.

426622400 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 426622400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (547746936).

426622400 is an abundant number, since it is smaller than the sum of its proper divisors (668871472).

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

426622400 is a wasteful number, since it uses less digits than its factorization.

426622400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11638 (or 11623 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 26.

The square root of 426622400 is about 20654.8396265863. The cubic root of 426622400 is about 752.8027868743.

It can be divided in two parts, 4266 and 22400, that multiplied together give a triangular number (95558400 = T₁₃₈₂₄).

The spelling of 426622400 in words is "four hundred twenty-six million, six hundred twenty-two thousand, four hundred".