1407115920 has 160 divisors (see below), whose sum is σ = 5120172288. Its totient is φ = 312920064.

The previous prime is 1407115877. The next prime is 1407115943. The reversal of 1407115920 is 295117041.

1407115920 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

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 31 ways as a sum of consecutive naturals, for example, 50842 + ... + 73478.

Almost surely, 2^1407115920 is an apocalyptic number.

1407115920 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1407115920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2560086144).

1407115920 is an abundant number, since it is smaller than the sum of its proper divisors (3713056368).

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

1407115920 is a wasteful number, since it uses less digits than its factorization.

1407115920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 22697 (or 22691 counting only the distinct ones).

The product of its (nonzero) digits is 2520, while the sum is 30.

The square root of 1407115920 is about 37511.5438232019. The cubic root of 1407115920 is about 1120.5810972627.

The spelling of 1407115920 in words is "one billion, four hundred seven million, one hundred fifteen thousand, nine hundred twenty".