704436480 has 576 divisors, whose sum is σ = 2913926400. Its totient is φ = 159252480.

The previous prime is 704436437. The next prime is 704436527. The reversal of 704436480 is 84634407.

704436480 is a `hidden beast` number, since 7 + 0 + 4 + 4 + 3 + 648 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (576).

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

It is a congruent number.

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, 6462666 + ... + 6462774.

It is an arithmetic number, because the mean of its divisors is an integer number (5058900).

Almost surely, 2^704436480 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 704436480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1456963200).

704436480 is an abundant number, since it is smaller than the sum of its proper divisors (2209489920).

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

704436480 is a wasteful number, since it uses less digits than its factorization.

704436480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 167 (or 147 counting only the distinct ones).

The product of its (nonzero) digits is 64512, while the sum is 36.

The square root of 704436480 is about 26541.2222778078. Note that the first 4 decimals coincide. The cubic root of 704436480 is about 889.7758472662.

The spelling of 704436480 in words is "seven hundred four million, four hundred thirty-six thousand, four hundred eighty".