1407428880 has 320 divisors, whose sum is σ = 5351657472. Its totient is φ = 301086720.

The previous prime is 1407428863. The next prime is 1407428909. The reversal of 1407428880 is 888247041.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 788469 + ... + 790251.

Almost surely, 2^1407428880 is an apocalyptic number.

1407428880 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 1407428880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2675828736).

1407428880 is an abundant number, since it is smaller than the sum of its proper divisors (3944228592).

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

1407428880 is a wasteful number, since it uses less digits than its factorization.

1407428880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1846 (or 1840 counting only the distinct ones).

The product of its (nonzero) digits is 114688, while the sum is 42.

The square root of 1407428880 is about 37515.7151071388. The cubic root of 1407428880 is about 1120.6641681404.

The spelling of 1407428880 in words is "one billion, four hundred seven million, four hundred twenty-eight thousand, eight hundred eighty".