427464400 has 60 divisors (see below), whose sum is σ = 1120356864. Its totient is φ = 155440000.

The previous prime is 427464391. The next prime is 427464409. The reversal of 427464400 is 4464724.

It is an interprime number because it is at equal distance from previous prime (427464391) and next prime (427464409).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (427464409) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 44176 + ... + 52975.

Almost surely, 2^427464400 is an apocalyptic number.

427464400 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

427464400 is an abundant number, since it is smaller than the sum of its proper divisors (692892464).

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

427464400 is a wasteful number, since it uses less digits than its factorization.

427464400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 97180 (or 97169 counting only the distinct ones).

The product of its (nonzero) digits is 21504, while the sum is 31.

The square root of 427464400 is about 20675.2122117283. The cubic root of 427464400 is about 753.2977158785.

The spelling of 427464400 in words is "four hundred twenty-seven million, four hundred sixty-four thousand, four hundred".