427732400 has 60 divisors (see below), whose sum is σ = 1042169904. Its totient is φ = 168672000.

The previous prime is 427732399. The next prime is 427732421. The reversal of 427732400 is 4237724.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 20870 + ... + 35930.

Almost surely, 2^427732400 is an apocalyptic number.

427732400 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 427732400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (521084952).

427732400 is an abundant number, since it is smaller than the sum of its proper divisors (614437504).

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

427732400 is a wasteful number, since it uses less digits than its factorization.

427732400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15150 (or 15139 counting only the distinct ones).

The product of its (nonzero) digits is 9408, while the sum is 29.

The square root of 427732400 is about 20681.6923872298. The cubic root of 427732400 is about 753.4551103594.

The spelling of 427732400 in words is "four hundred twenty-seven million, seven hundred thirty-two thousand, four hundred".