705624480 has 384 divisors, whose sum is σ = 2786918400. Its totient is φ = 165196800.

The previous prime is 705624431. The next prime is 705624533. The reversal of 705624480 is 84426507.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

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

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, 1472881 + ... + 1473359.

It is an arithmetic number, because the mean of its divisors is an integer number (7257600).

Almost surely, 2^705624480 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 705624480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1393459200).

705624480 is an abundant number, since it is smaller than the sum of its proper divisors (2081293920).

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

705624480 is a wasteful number, since it uses less digits than its factorization.

705624480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 545 (or 531 counting only the distinct ones).

The product of its (nonzero) digits is 53760, while the sum is 36.

The square root of 705624480 is about 26563.5931304483. The cubic root of 705624480 is about 890.2757551445.

The spelling of 705624480 in words is "seven hundred five million, six hundred twenty-four thousand, four hundred eighty".