653352480 has 240 divisors, whose sum is σ = 2515955904. Its totient is φ = 158353920.

The previous prime is 653352473. The next prime is 653352493. The reversal of 653352480 is 84253356.

It is a happy number.

653352480 is a `hidden beast` number, since 6 + 53 + 3 + 524 + 80 = 666.

It is a tau number, because it is divible by the number of its divisors (240).

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 39 ways as a sum of consecutive naturals, for example, 140269 + ... + 144851.

Almost surely, 2^653352480 is an apocalyptic number.

653352480 is a gapful number since it is divisible by the number (60) 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 653352480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1257977952).

653352480 is an abundant number, since it is smaller than the sum of its proper divisors (1862603424).

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

653352480 is a wasteful number, since it uses less digits than its factorization.

653352480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4621 (or 4604 counting only the distinct ones).

The product of its (nonzero) digits is 86400, while the sum is 36.

The square root of 653352480 is about 25560.7605520650. The cubic root of 653352480 is about 867.7258083315.

The spelling of 653352480 in words is "six hundred fifty-three million, three hundred fifty-two thousand, four hundred eighty".