964878480 has 200 divisors, whose sum is σ = 3407498424. Its totient is φ = 252979200.

The previous prime is 964878479. The next prime is 964878493. The reversal of 964878480 is 84878469.

964878480 is a `hidden beast` number, since 9 + 6 + 487 + 84 + 80 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 43877376 + 921001104 = 6624^2 + 30348^2 .

It is a super-2 number, since 2×964878480² = 1861980962334220800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

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 39 ways as a sum of consecutive naturals, for example, 394060 + ... + 396500.

Almost surely, 2^964878480 is an apocalyptic number.

964878480 is a gapful number since it is divisible by the number (90) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 964878480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1703749212).

964878480 is an abundant number, since it is smaller than the sum of its proper divisors (2442619944).

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

964878480 is a wasteful number, since it uses less digits than its factorization.

964878480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2527 (or 2512 counting only the distinct ones).

The product of its (nonzero) digits is 3096576, while the sum is 54.

The square root of 964878480 is about 31062.4931388322. The cubic root of 964878480 is about 988.1530302171.

The spelling of 964878480 in words is "nine hundred sixty-four million, eight hundred seventy-eight thousand, four hundred eighty".