464476032 has 192 divisors, whose sum is σ = 1409007600. Its totient is φ = 152285184.

The previous prime is 464476027. The next prime is 464476039. The reversal of 464476032 is 230674464.

464476032 is a `hidden beast` number, since 4 + 6 + 4 + 47 + 603 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (192).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (464476039) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3390268 + ... + 3390404.

Almost surely, 2^464476032 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 464476032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (704503800).

464476032 is an abundant number, since it is smaller than the sum of its proper divisors (944531568).

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

464476032 is a wasteful number, since it uses less digits than its factorization.

464476032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 275 (or 251 counting only the distinct ones).

The product of its (nonzero) digits is 96768, while the sum is 36.

The square root of 464476032 is about 21551.7060113579. The cubic root of 464476032 is about 774.4399878037.

The spelling of 464476032 in words is "four hundred sixty-four million, four hundred seventy-six thousand, thirty-two".