456153488 has 40 divisors (see below), whose sum is σ = 1014339840. Its totient is φ = 194664960.

The previous prime is 456153407. The next prime is 456153491. The reversal of 456153488 is 884351654.

It is a super-2 number, since 2×456153488² = 416152009229132288, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 18248 + ... + 35288.

It is an arithmetic number, because the mean of its divisors is an integer number (25358496).

Almost surely, 2^456153488 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 456153488, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (507169920).

456153488 is an abundant number, since it is smaller than the sum of its proper divisors (558186352).

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

456153488 is a wasteful number, since it uses less digits than its factorization.

456153488 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17295 (or 17289 counting only the distinct ones).

The product of its digits is 460800, while the sum is 44.

The square root of 456153488 is about 21357.7500687689. The cubic root of 456153488 is about 769.7865760329.

The spelling of 456153488 in words is "four hundred fifty-six million, one hundred fifty-three thousand, four hundred eighty-eight".