1504232964 has 384 divisors, whose sum is σ = 4877107200. Its totient is φ = 395642880.

The previous prime is 1504232953. The next prime is 1504232999. The reversal of 1504232964 is 4692324051.

It is a happy number.

1504232964 is a `hidden beast` number, since 150 + 423 + 29 + 64 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 14058199 + ... + 14058305.

It is an arithmetic number, because the mean of its divisors is an integer number (12700800).

Almost surely, 2^1504232964 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 1504232964, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2438553600).

1504232964 is an abundant number, since it is smaller than the sum of its proper divisors (3372874236).

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

1504232964 is a wasteful number, since it uses less digits than its factorization.

1504232964 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 200 (or 192 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 36.

The square root of 1504232964 is about 38784.4422932701. The cubic root of 1504232964 is about 1145.7900166239.

The spelling of 1504232964 in words is "one billion, five hundred four million, two hundred thirty-two thousand, nine hundred sixty-four".