1504400160 has 192 divisors, whose sum is σ = 4860172800. Its totient is φ = 391053312.

The previous prime is 1504400099. The next prime is 1504400171. The reversal of 1504400160 is 610044051.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3678036 + ... + 3678444.

It is an arithmetic number, because the mean of its divisors is an integer number (25313400).

Almost surely, 2^1504400160 is an apocalyptic number.

1504400160 is a gapful number since it is divisible by the number (10) 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 1504400160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2430086400).

1504400160 is an abundant number, since it is smaller than the sum of its proper divisors (3355772640).

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

1504400160 is a wasteful number, since it uses less digits than its factorization.

1504400160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 603 (or 595 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 21.

The square root of 1504400160 is about 38786.5976852830. The cubic root of 1504400160 is about 1145.8324666998.

The spelling of 1504400160 in words is "one billion, five hundred four million, four hundred thousand, one hundred sixty".