963735480 has 96 divisors (see below), whose sum is σ = 3297013200. Its totient is φ = 243468288.

The previous prime is 963735467. The next prime is 963735481. The reversal of 963735480 is 84537369.

963735480 is a `hidden beast` number, since 9 + 637 + 3 + 5 + 4 + 8 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (963735481) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 63609 + ... + 77288.

Almost surely, 2^963735480 is an apocalyptic number.

963735480 is a gapful number since it is divisible by the number (90) formed by its first and last digit.

It is an amenable number.

963735480 is an abundant number, since it is smaller than the sum of its proper divisors (2333277720).

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

963735480 is a wasteful number, since it uses less digits than its factorization.

963735480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 140933 (or 140926 counting only the distinct ones).

The product of its (nonzero) digits is 544320, while the sum is 45.

The square root of 963735480 is about 31044.0892924885. The cubic root of 963735480 is about 987.7626856579.

The spelling of 963735480 in words is "nine hundred sixty-three million, seven hundred thirty-five thousand, four hundred eighty".