462472164 has 216 divisors, whose sum is σ = 1522073280. Its totient is φ = 115758720.

The previous prime is 462472159. The next prime is 462472187. The reversal of 462472164 is 461274264.

462472164 is a `hidden beast` number, since 4 + 624 + 7 + 21 + 6 + 4 = 666.

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

It is a nude number because it is divisible by every one of its digits.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 884007 + ... + 884529.

Almost surely, 2^462472164 is an apocalyptic number.

462472164 is a gapful number since it is divisible by the number (44) 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 462472164, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (761036640).

462472164 is an abundant number, since it is smaller than the sum of its proper divisors (1059601116).

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

462472164 is a wasteful number, since it uses less digits than its factorization.

462472164 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 591 (or 575 counting only the distinct ones).

The product of its digits is 64512, while the sum is 36.

The square root of 462472164 is about 21505.1659840142. The cubic root of 462472164 is about 773.3246718379.

The spelling of 462472164 in words is "four hundred sixty-two million, four hundred seventy-two thousand, one hundred sixty-four".