654747456 has 84 divisors (see below), whose sum is σ = 1904223776. Its totient is φ = 198401280.

The previous prime is 654747403. The next prime is 654747461.

654747456 is nontrivially palindromic in base 10.

It is a super-2 number, since 2×654747456² = 857388462276943872, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is an alternating number because its digits alternate between even and odd.

It is a congruent number.

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, 9141 + ... + 37323.

Almost surely, 2^654747456 is an apocalyptic number.

654747456 is a gapful number since it is divisible by the number (66) 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 654747456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (952111888).

654747456 is an abundant number, since it is smaller than the sum of its proper divisors (1249476320).

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

654747456 is a wasteful number, since it uses less digits than its factorization.

654747456 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 28220 (or 28199 counting only the distinct ones).

The product of its digits is 2822400, while the sum is 48.

The square root of 654747456 is about 25588.0334531593. The cubic root of 654747456 is about 868.3429311714.

The spelling of 654747456 in words is "six hundred fifty-four million, seven hundred forty-seven thousand, four hundred fifty-six".