1504832472 has 384 divisors, whose sum is σ = 5112307200. Its totient is φ = 407151360.

The previous prime is 1504832467. The next prime is 1504832479. The reversal of 1504832472 is 2742384051.

It is a happy number.

1504832472 is a `hidden beast` number, since 1 + 504 + 83 + 2 + 4 + 72 = 666.

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

1504832472 is a modest number, since divided by 32472 gives 15048 as remainder.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1504832479) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 14609973 + ... + 14610075.

It is an arithmetic number, because the mean of its divisors is an integer number (13313300).

Almost surely, 2^1504832472 is an apocalyptic number.

1504832472 is a gapful number since it is divisible by the number (12) 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 1504832472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2556153600).

1504832472 is an abundant number, since it is smaller than the sum of its proper divisors (3607474728).

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

1504832472 is a wasteful number, since it uses less digits than its factorization.

1504832472 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 196 (or 175 counting only the distinct ones).

The product of its (nonzero) digits is 53760, while the sum is 36.

The square root of 1504832472 is about 38792.1702409133. The cubic root of 1504832472 is about 1145.9422135825.

The spelling of 1504832472 in words is "one billion, five hundred four million, eight hundred thirty-two thousand, four hundred seventy-two".