464152000 has 112 divisors (see below), whose sum is σ = 1238170752. Its totient is φ = 171340800.

The previous prime is 464151991. The next prime is 464152001. The reversal of 464152000 is 251464.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (464152001) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 101769 + ... + 106231.

It is an arithmetic number, because the mean of its divisors is an integer number (11055096).

Almost surely, 2^464152000 is an apocalyptic number.

464152000 is a gapful number since it is divisible by the number (40) 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 464152000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (619085376).

464152000 is an abundant number, since it is smaller than the sum of its proper divisors (774018752).

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

464152000 is a wasteful number, since it uses less digits than its factorization.

464152000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4503 (or 4483 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 22.

The square root of 464152000 is about 21544.1871510623. The cubic root of 464152000 is about 774.2598552827.

The spelling of 464152000 in words is "four hundred sixty-four million, one hundred fifty-two thousand".