464993136 has 120 divisors (see below), whose sum is σ = 1382921904. Its totient is φ = 151165440.

The previous prime is 464993117. The next prime is 464993143. The reversal of 464993136 is 631399464.

It is a super-2 number, since 2×464993136² = 432437233054228992, which contains 22 as substring.

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

It is a junction number, because it is equal to n+sod(n) for n = 464993091 and 464993100.

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, 157950 + ... + 160866.

Almost surely, 2^464993136 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 464993136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (691460952).

464993136 is an abundant number, since it is smaller than the sum of its proper divisors (917928768).

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

464993136 is a wasteful number, since it uses less digits than its factorization.

464993136 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2981 (or 2963 counting only the distinct ones).

The product of its digits is 419904, while the sum is 45.

The square root of 464993136 is about 21563.6994970715. The cubic root of 464993136 is about 774.7272774706.

The spelling of 464993136 in words is "four hundred sixty-four million, nine hundred ninety-three thousand, one hundred thirty-six".