426451200 has 432 divisors, whose sum is σ = 1703224320. Its totient is φ = 91791360.

The previous prime is 426451139. The next prime is 426451217. The reversal of 426451200 is 2154624.

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 47 ways as a sum of consecutive naturals, for example, 2553517 + ... + 2553683.

Almost surely, 2^426451200 is an apocalyptic number.

426451200 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 426451200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (851612160).

426451200 is an abundant number, since it is smaller than the sum of its proper divisors (1276773120).

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

426451200 is a wasteful number, since it uses less digits than its factorization.

426451200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 222 (or 203 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 24.

The square root of 426451200 is about 20650.6949035620. The cubic root of 426451200 is about 752.7020755814.

The spelling of 426451200 in words is "four hundred twenty-six million, four hundred fifty-one thousand, two hundred".