462090564 has 144 divisors (see below), whose sum is σ = 1336578880. Its totient is φ = 133436160.

The previous prime is 462090533. The next prime is 462090589. The reversal of 462090564 is 465090264.

462090564 is a `hidden beast` number, since 4 + 6 + 2 + 0 + 90 + 564 = 666.

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

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, 1395879 + ... + 1396209.

Almost surely, 2^462090564 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 462090564, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (668289440).

462090564 is an abundant number, since it is smaller than the sum of its proper divisors (874488316).

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

462090564 is a wasteful number, since it uses less digits than its factorization.

462090564 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 530 (or 525 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 36.

The square root of 462090564 is about 21496.2918662731. The cubic root of 462090564 is about 773.1119153230. Note that the first 3 decimals are identical.

The spelling of 462090564 in words is "four hundred sixty-two million, ninety thousand, five hundred sixty-four".