464213152 has 96 divisors (see below), whose sum is σ = 1068200784. Its totient is φ = 196608000.

The previous prime is 464213143. The next prime is 464213171. The reversal of 464213152 is 251312464.

It can be written as a sum of positive squares in 8 ways, for example, as 249766416 + 214446736 = 15804^2 + 14644^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 464213152.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 289152 + ... + 290752.

Almost surely, 2^464213152 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 464213152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (534100392).

464213152 is an abundant number, since it is smaller than the sum of its proper divisors (603987632).

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

464213152 is a wasteful number, since it uses less digits than its factorization.

464213152 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1682 (or 1674 counting only the distinct ones).

The product of its digits is 5760, while the sum is 28.

The square root of 464213152 is about 21545.6063270450. The cubic root of 464213152 is about 774.2938566870.

The spelling of 464213152 in words is "four hundred sixty-four million, two hundred thirteen thousand, one hundred fifty-two".