1505764872 has 24 divisors (see below), whose sum is σ = 4078113390. Its totient is φ = 501921600.

The previous prime is 1505764859. The next prime is 1505764873. The reversal of 1505764872 is 2784675051.

1505764872 is a `hidden beast` number, since 1 + 5 + 0 + 576 + 4 + 8 + 72 = 666.

It can be written as a sum of positive squares in only one way, i.e., 1018503396 + 487261476 = 31914^2 + 22074^2 .

It is a tau number, because it is divible by the number of its divisors (24).

It is not an unprimeable number, because it can be changed into a prime (1505764873) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 10456629 + ... + 10456772.

Almost surely, 2^1505764872 is an apocalyptic number.

1505764872 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

1505764872 is an abundant number, since it is smaller than the sum of its proper divisors (2572348518).

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

1505764872 is a wasteful number, since it uses less digits than its factorization.

1505764872 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20913413 (or 20913406 counting only the distinct ones).

The product of its (nonzero) digits is 470400, while the sum is 45.

The square root of 1505764872 is about 38804.1862690097. The cubic root of 1505764872 is about 1146.1788414549.

The spelling of 1505764872 in words is "one billion, five hundred five million, seven hundred sixty-four thousand, eight hundred seventy-two".