403152000 has 256 divisors, whose sum is σ = 1378615680. Its totient is φ = 104140800.

The previous prime is 403151929. The next prime is 403152007. The reversal of 403152000 is 251304.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is not an unprimeable number, because it can be changed into a prime (403152007) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1775887 + ... + 1776113.

Almost surely, 2^403152000 is an apocalyptic number.

403152000 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 403152000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (689307840).

403152000 is an abundant number, since it is smaller than the sum of its proper divisors (975463680).

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

403152000 is a wasteful number, since it uses less digits than its factorization.

403152000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 296 (or 274 counting only the distinct ones).

The product of its (nonzero) digits is 120, while the sum is 15.

The square root of 403152000 is about 20078.6453726341. The cubic root of 403152000 is about 738.7365829086.

The spelling of 403152000 in words is "four hundred three million, one hundred fifty-two thousand".