1407364704 has 72 divisors (see below), whose sum is σ = 4041902592. Its totient is φ = 464467200.

The previous prime is 1407364661. The next prime is 1407364709. The reversal of 1407364704 is 4074637041.

It is a happy number.

1407364704 is a `hidden beast` number, since 1 + 4 + 0 + 7 + 3 + 647 + 0 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (72).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1407364709) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 4897 + ... + 53279.

It is an arithmetic number, because the mean of its divisors is an integer number (56137536).

Almost surely, 2^1407364704 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1407364704, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2020951296).

1407364704 is an abundant number, since it is smaller than the sum of its proper divisors (2634537888).

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

1407364704 is a wasteful number, since it uses less digits than its factorization.

1407364704 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 48500 (or 48489 counting only the distinct ones).

The product of its (nonzero) digits is 56448, while the sum is 36.

The square root of 1407364704 is about 37514.8597758275. The cubic root of 1407364704 is about 1120.6471345179.

The spelling of 1407364704 in words is "one billion, four hundred seven million, three hundred sixty-four thousand, seven hundred four".