1461920576 has 28 divisors (see below), whose sum is σ = 3071647908. Its totient is φ = 687962112.

The previous prime is 1461920567. The next prime is 1461920587. The reversal of 1461920576 is 6750291641.

It can be written as a sum of positive squares in 2 ways, for example, as 1166905600 + 295014976 = 34160^2 + 17176^2 .

It is a hoax number, since the sum of its digits (41) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 670751 + ... + 672926.

It is an arithmetic number, because the mean of its divisors is an integer number (109701711).

Almost surely, 2^1461920576 is an apocalyptic number.

1461920576 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

1461920576 is an abundant number, since it is smaller than the sum of its proper divisors (1609727332).

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

1461920576 is a wasteful number, since it uses less digits than its factorization.

1461920576 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1343706 (or 1343696 counting only the distinct ones).

The product of its (nonzero) digits is 90720, while the sum is 41.

The square root of 1461920576 is about 38235.0699750896. The cubic root of 1461920576 is about 1134.9444171840.

The spelling of 1461920576 in words is "one billion, four hundred sixty-one million, nine hundred twenty thousand, five hundred seventy-six".