431527152 has 160 divisors (see below), whose sum is σ = 1325089792. Its totient is φ = 118444032.

The previous prime is 431527141. The next prime is 431527157. The reversal of 431527152 is 251725134.

It is a super-2 number, since 2×431527152² = 372431365826462208, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (431527157) 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, 1280328 + ... + 1280664.

Almost surely, 2^431527152 is an apocalyptic number.

431527152 is a gapful number since it is divisible by the number (42) 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 431527152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (662544896).

431527152 is an abundant number, since it is smaller than the sum of its proper divisors (893562640).

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

431527152 is a wasteful number, since it uses less digits than its factorization.

431527152 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 495 (or 489 counting only the distinct ones).

The product of its digits is 8400, while the sum is 30.

The square root of 431527152 is about 20773.2316214883. The cubic root of 431527152 is about 755.6767185287.

The spelling of 431527152 in words is "four hundred thirty-one million, five hundred twenty-seven thousand, one hundred fifty-two".