462138552 has 96 divisors (see below), whose sum is σ = 1297296000. Its totient is φ = 148515840.

The previous prime is 462138499. The next prime is 462138571. The reversal of 462138552 is 255831264.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 261849 + ... + 263607.

It is an arithmetic number, because the mean of its divisors is an integer number (13513500).

Almost surely, 2^462138552 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 462138552, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (648648000).

462138552 is an abundant number, since it is smaller than the sum of its proper divisors (835157448).

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

462138552 is a wasteful number, since it uses less digits than its factorization.

462138552 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1901 (or 1894 counting only the distinct ones).

The product of its digits is 57600, while the sum is 36.

The square root of 462138552 is about 21497.4080298068. The cubic root of 462138552 is about 773.1386768955.

The spelling of 462138552 in words is "four hundred sixty-two million, one hundred thirty-eight thousand, five hundred fifty-two".