407800704 has 64 divisors (see below), whose sum is σ = 1087793280. Its totient is φ = 135360000.

The previous prime is 407800693. The next prime is 407800727. The reversal of 407800704 is 407008704.

It is a tau number, because it is divible by the number of its divisors (64).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 94269 + ... + 98499.

It is an arithmetic number, because the mean of its divisors is an integer number (16996770).

Almost surely, 2^407800704 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 407800704, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (543896640).

407800704 is an abundant number, since it is smaller than the sum of its proper divisors (679992576).

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

407800704 is a wasteful number, since it uses less digits than its factorization.

407800704 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4499 (or 4487 counting only the distinct ones).

The product of its (nonzero) digits is 6272, while the sum is 30.

The square root of 407800704 is about 20194.0759630145. The cubic root of 407800704 is about 741.5651702600.

The spelling of 407800704 in words is "four hundred seven million, eight hundred thousand, seven hundred four".