1407392112 has 160 divisors (see below), whose sum is σ = 4301708800. Its totient is φ = 396264960.

The previous prime is 1407392087. The next prime is 1407392123. The reversal of 1407392112 is 2112937041.

It is a self number, because there is not a number n which added to its sum of digits gives 1407392112.

It is a congruent number.

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, 1201287 + ... + 1202457.

It is an arithmetic number, because the mean of its divisors is an integer number (26885680).

Almost surely, 2^1407392112 is an apocalyptic number.

1407392112 is a gapful number since it is divisible by the number (12) 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 1407392112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2150854400).

1407392112 is an abundant number, since it is smaller than the sum of its proper divisors (2894316688).

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

1407392112 is a wasteful number, since it uses less digits than its factorization.

1407392112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1276 (or 1256 counting only the distinct ones).

The product of its (nonzero) digits is 3024, while the sum is 30.

The square root of 1407392112 is about 37515.2250692969. The cubic root of 1407392112 is about 1120.6544092248.

The spelling of 1407392112 in words is "one billion, four hundred seven million, three hundred ninety-two thousand, one hundred twelve".