1461620460 has 48 divisors (see below), whose sum is σ = 4094528256. Its totient is φ = 389575872.

The previous prime is 1461620453. The next prime is 1461620471. The reversal of 1461620460 is 640261641.

It is a super-2 number, since 2×1461620460² = 4272668738181223200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

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, 154219 + ... + 163421.

It is an arithmetic number, because the mean of its divisors is an integer number (85302672).

Almost surely, 2^1461620460 is an apocalyptic number.

1461620460 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1461620460 is an abundant number, since it is smaller than the sum of its proper divisors (2632907796).

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

1461620460 is a wasteful number, since it uses less digits than its factorization.

1461620460 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11862 (or 11860 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 30.

The square root of 1461620460 is about 38231.1451567959. The cubic root of 1461620460 is about 1134.8667480559.

The spelling of 1461620460 in words is "one billion, four hundred sixty-one million, six hundred twenty thousand, four hundred sixty".