653217408 has 96 divisors (see below), whose sum is σ = 1886844960. Its totient is φ = 216912384.

The previous prime is 653217407. The next prime is 653217413. The reversal of 653217408 is 804712356.

653217408 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-2 number, since 2×653217408² = 853385964228476928, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (653217403) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 352741 + ... + 354587.

It is an arithmetic number, because the mean of its divisors is an integer number (19654635).

Almost surely, 2^653217408 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 653217408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (943422480).

653217408 is an abundant number, since it is smaller than the sum of its proper divisors (1233627552).

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

653217408 is a wasteful number, since it uses less digits than its factorization.

653217408 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2174 (or 2159 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 36.

The square root of 653217408 is about 25558.1182405904. The cubic root of 653217408 is about 867.6660072584. Note that the first 3 decimals are identical.

The spelling of 653217408 in words is "six hundred fifty-three million, two hundred seventeen thousand, four hundred eight".