970785504 has 144 divisors (see below), whose sum is σ = 2985196032. Its totient is φ = 297483264.

The previous prime is 970785499. The next prime is 970785551. The reversal of 970785504 is 405587079.

970785504 is a `hidden beast` number, since 9 + 70 + 78 + 5 + 504 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a self number, because there is not a number n which added to its sum of digits gives 970785504.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1433614 + ... + 1434290.

It is an arithmetic number, because the mean of its divisors is an integer number (20730528).

Almost surely, 2^970785504 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 970785504, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1492598016).

970785504 is an abundant number, since it is smaller than the sum of its proper divisors (2014410528).

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

970785504 is a wasteful number, since it uses less digits than its factorization.

970785504 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1089 (or 1078 counting only the distinct ones).

The product of its (nonzero) digits is 352800, while the sum is 45.

The square root of 970785504 is about 31157.4309595640. The cubic root of 970785504 is about 990.1654330212.

The spelling of 970785504 in words is "nine hundred seventy million, seven hundred eighty-five thousand, five hundred four".