633480 has 32 divisors (see below), whose sum is σ = 1900800. Its totient is φ = 168896.

The previous prime is 633473. The next prime is 633487. The reversal of 633480 is 84336.

It is an interprime number because it is at equal distance from previous prime (633473) and next prime (633487).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 633480.

It is not an unprimeable number, because it can be changed into a prime (633487) by changing a digit.

633480 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2520 + ... + 2759.

It is an arithmetic number, because the mean of its divisors is an integer number (59400).

2⁶³³⁴⁸⁰ is an apocalyptic number.

633480 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

It is an amenable number.

633480 is an abundant number, since it is smaller than the sum of its proper divisors (1267320).

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

633480 is a wasteful number, since it uses less digits than its factorization.

633480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5293 (or 5289 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 24.

The square root of 633480 is about 795.9145682798. The cubic root of 633480 is about 85.8837441225.

The spelling of 633480 in words is "six hundred thirty-three thousand, four hundred eighty".