464526432 has 72 divisors (see below), whose sum is σ = 1336981464. Its totient is φ = 152968704.

The previous prime is 464526409. The next prime is 464526449. The reversal of 464526432 is 234625464.

464526432 is a `hidden beast` number, since 4 + 6 + 4 + 5 + 2 + 643 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (72).

It is a super-3 number, since 3×464526432³ (a number of 27 digits) contains 333 as substring.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

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 11 ways as a sum of consecutive naturals, for example, 14188 + ... + 33620.

It is an arithmetic number, because the mean of its divisors is an integer number (18569187).

Almost surely, 2^464526432 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 464526432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (668490732).

464526432 is an abundant number, since it is smaller than the sum of its proper divisors (872455032).

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

464526432 is a wasteful number, since it uses less digits than its factorization.

464526432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19532 (or 19521 counting only the distinct ones).

The product of its digits is 138240, while the sum is 36.

The square root of 464526432 is about 21552.8752606236. The cubic root of 464526432 is about 774.4679981215.

The spelling of 464526432 in words is "four hundred sixty-four million, five hundred twenty-six thousand, four hundred thirty-two".