455037264 has 200 divisors, whose sum is σ = 1463790240. Its totient is φ = 135302400.

The previous prime is 455037259. The next prime is 455037269. The reversal of 455037264 is 462730554.

It is an interprime number because it is at equal distance from previous prime (455037259) and next prime (455037269).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (455037269) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 840834 + ... + 841374.

Almost surely, 2^455037264 is an apocalyptic number.

455037264 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 455037264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (731895120).

455037264 is an abundant number, since it is smaller than the sum of its proper divisors (1008752976).

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

455037264 is a wasteful number, since it uses less digits than its factorization.

455037264 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 631 (or 616 counting only the distinct ones).

The product of its (nonzero) digits is 100800, while the sum is 36.

The square root of 455037264 is about 21331.6024714507. The cubic root of 455037264 is about 769.1581646879.

It can be divided in two parts, 4550 and 37264, that added together give a palindrome (41814).

The spelling of 455037264 in words is "four hundred fifty-five million, thirty-seven thousand, two hundred sixty-four".