455393664 has 240 divisors, whose sum is σ = 1494866100. Its totient is φ = 137998080.

The previous prime is 455393623. The next prime is 455393677. The reversal of 455393664 is 466393554.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

455393664 is a `hidden beast` number, since 4 + 553 + 9 + 36 + 64 = 666.

It is a super-2 number, since 2×455393664² = 414766778422689792, which contains 22 as substring.

Its product of digits (1166400) is a multiple of the sum of its prime divisors (16).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 41399419 + ... + 41399429.

Almost surely, 2^455393664 is an apocalyptic number.

455393664 is a gapful number since it is divisible by the number (44) 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 455393664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (747433050).

455393664 is an abundant number, since it is smaller than the sum of its proper divisors (1039472436).

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

455393664 is an frugal number, since it uses more digits than its factorization.

455393664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 73 (or 16 counting only the distinct ones).

The product of its digits is 1166400, while the sum is 45.

The square root of 455393664 is about 21339.9546391270. The cubic root of 455393664 is about 769.3589221892.

The spelling of 455393664 in words is "four hundred fifty-five million, three hundred ninety-three thousand, six hundred sixty-four".