427959107400 has 192 divisors, whose sum is σ = 1497186763200. Its totient is φ = 100170112000.

The previous prime is 427959107347. The next prime is 427959107413. The reversal of 427959107400 is 4701959724.

It is a self number, because there is not a number n which added to its sum of digits gives 427959107400.

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, 926571 + ... + 1309370.

It is an arithmetic number, because the mean of its divisors is an integer number (7797847725).

Almost surely, 2^427959107400 is an apocalyptic number.

427959107400 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

427959107400 is an abundant number, since it is smaller than the sum of its proper divisors (1069227655800).

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

427959107400 is a wasteful number, since it uses less digits than its factorization.

427959107400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2236000 (or 2235991 counting only the distinct ones).

The product of its (nonzero) digits is 635040, while the sum is 48.

The spelling of 427959107400 in words is "four hundred twenty-seven billion, nine hundred fifty-nine million, one hundred seven thousand, four hundred".