1407268460 has 24 divisors (see below), whose sum is σ = 3182592336. Its totient is φ = 519606720.

The previous prime is 1407268453. The next prime is 1407268477. The reversal of 1407268460 is 648627041.

It is a Smith number, since the sum of its digits (38) coincides with the sum of the digits of its prime factors.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2706026 + ... + 2706545.

It is an arithmetic number, because the mean of its divisors is an integer number (132608014).

Almost surely, 2^1407268460 is an apocalyptic number.

1407268460 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1407268460 is an abundant number, since it is smaller than the sum of its proper divisors (1775323876).

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

1407268460 is a wasteful number, since it uses less digits than its factorization.

1407268460 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5412593 (or 5412591 counting only the distinct ones).

The product of its (nonzero) digits is 64512, while the sum is 38.

The square root of 1407268460 is about 37513.5770088644. The cubic root of 1407268460 is about 1120.6215884219.

The spelling of 1407268460 in words is "one billion, four hundred seven million, two hundred sixty-eight thousand, four hundred sixty".