427597632 has 336 divisors, whose sum is σ = 1582424064. Its totient is φ = 107136000.

The previous prime is 427597613. The next prime is 427597711. The reversal of 427597632 is 236795724.

427597632 is a `hidden beast` number, since 4 + 2 + 7 + 5 + 9 + 7 + 632 = 666.

It is a tau number, because it is divible by the number of its divisors (336).

Its product of digits (635040) is a multiple of the sum of its prime factors (378).

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, 1374757 + ... + 1375067.

Almost surely, 2^427597632 is an apocalyptic number.

427597632 is a gapful number since it is divisible by the number (42) 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 427597632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (791212032).

427597632 is an abundant number, since it is smaller than the sum of its proper divisors (1154826432).

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

427597632 is a wasteful number, since it uses less digits than its factorization.

427597632 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 378 (or 365 counting only the distinct ones).

The product of its digits is 635040, while the sum is 45.

The square root of 427597632 is about 20678.4339832590. The cubic root of 427597632 is about 753.3759702985.

The spelling of 427597632 in words is "four hundred twenty-seven million, five hundred ninety-seven thousand, six hundred thirty-two".