331506432 has 162 divisors, whose sum is σ = 1004979612. Its totient is φ = 108988416.

The previous prime is 331506431. The next prime is 331506481. The reversal of 331506432 is 234605133.

It is a happy number.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

331506432 is a `hidden beast` number, since 3 + 3 + 15 + 0 + 643 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (162).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 331506396 and 331506405.

It is not an unprimeable number, because it can be changed into a prime (331506431) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 4541148 + ... + 4541220.

Almost surely, 2^331506432 is an apocalyptic number.

331506432 is a gapful number since it is divisible by the number (32) 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 331506432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (502489806).

331506432 is an abundant number, since it is smaller than the sum of its proper divisors (673473180).

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

331506432 is an frugal number, since it uses more digits than its factorization.

331506432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 177 (or 78 counting only the distinct ones).

The product of its (nonzero) digits is 6480, while the sum is 27.

The square root of 331506432 is about 18207.3180891640. The cubic root of 331506432 is about 692.0922505013.

Multiplying 331506432 by its sum of digits (27), we get a square (8950673664 = 94608²).

331506432 divided by its sum of digits (27) gives a square (12278016 = 3504²).

The spelling of 331506432 in words is "three hundred thirty-one million, five hundred six thousand, four hundred thirty-two".