1653412464 has 120 divisors (see below), whose sum is σ = 5063930352. Its totient is φ = 499445760.

The previous prime is 1653412457. The next prime is 1653412487. The reversal of 1653412464 is 4642143561.

1653412464 is a `hidden beast` number, since 165 + 34 + 1 + 2 + 464 = 666.

It is a super-2 number, since 2×1653412464² = 5467545552221102592, which contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 557674 + ... + 560630.

Almost surely, 2^1653412464 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 1653412464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2531965176).

1653412464 is an abundant number, since it is smaller than the sum of its proper divisors (3410517888).

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

1653412464 is a wasteful number, since it uses less digits than its factorization.

1653412464 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3335 (or 3326 counting only the distinct ones).

The product of its digits is 69120, while the sum is 36.

The square root of 1653412464 is about 40662.1748557551. The cubic root of 1653412464 is about 1182.4798141334.

The spelling of 1653412464 in words is "one billion, six hundred fifty-three million, four hundred twelve thousand, four hundred sixty-four".