633813480 has 48 divisors (see below), whose sum is σ = 2059894980. Its totient is φ = 169016832.

The previous prime is 633813469. The next prime is 633813491. The reversal of 633813480 is 84318336.

It is a happy number.

633813480 is a `hidden beast` number, since 633 + 8 + 13 + 4 + 8 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (633813469) and next prime (633813491).

It can be written as a sum of positive squares in 2 ways, for example, as 619113924 + 14699556 = 24882^2 + 3834^2 .

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 11 ways as a sum of consecutive naturals, for example, 879937 + ... + 880656.

Almost surely, 2^633813480 is an apocalyptic number.

633813480 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

It is an amenable number.

633813480 is an abundant number, since it is smaller than the sum of its proper divisors (1426081500).

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

633813480 is a wasteful number, since it uses less digits than its factorization.

633813480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1760610 (or 1760603 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 36.

The square root of 633813480 is about 25175.6525238175. The cubic root of 633813480 is about 858.9881194196.

The spelling of 633813480 in words is "six hundred thirty-three million, eight hundred thirteen thousand, four hundred eighty".