1521464040 has 64 divisors (see below), whose sum is σ = 5071550400. Its totient is φ = 405723456.

The previous prime is 1521464027. The next prime is 1521464069. The reversal of 1521464040 is 404641251.

1521464040 is a `hidden beast` number, since 1 + 5 + 2 + 14 + 640 + 4 + 0 = 666.

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 = 1521463995 and 1521464013.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 703302 + ... + 705461.

It is an arithmetic number, because the mean of its divisors is an integer number (79242975).

Almost surely, 2^1521464040 is an apocalyptic number.

1521464040 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1521464040 is an abundant number, since it is smaller than the sum of its proper divisors (3550086360).

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

1521464040 is a wasteful number, since it uses less digits than its factorization.

1521464040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1408783 (or 1408773 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 27.

The square root of 1521464040 is about 39005.9487770776. The cubic root of 1521464040 is about 1150.1484471256.

The spelling of 1521464040 in words is "one billion, five hundred twenty-one million, four hundred sixty-four thousand, forty".