1520404560 has 160 divisors (see below), whose sum is σ = 5250199680. Its totient is φ = 404416512.

The previous prime is 1520404553. The next prime is 1520404607. The reversal of 1520404560 is 654040251.

1520404560 is a `hidden beast` number, since 1 + 5 + 204 + 0 + 456 + 0 = 666.

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

It is a congruent number.

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, 1280287 + ... + 1281473.

It is an arithmetic number, because the mean of its divisors is an integer number (32813748).

Almost surely, 2^1520404560 is an apocalyptic number.

1520404560 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 1520404560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2625099840).

1520404560 is an abundant number, since it is smaller than the sum of its proper divisors (3729795120).

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

1520404560 is a wasteful number, since it uses less digits than its factorization.

1520404560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1802 (or 1790 counting only the distinct ones).

The product of its (nonzero) digits is 4800, while the sum is 27.

The square root of 1520404560 is about 38992.3654065767. The cubic root of 1520404560 is about 1149.8814143632.

The spelling of 1520404560 in words is "one billion, five hundred twenty million, four hundred four thousand, five hundred sixty".