455914004 has 144 divisors (see below), whose sum is σ = 1062512640. Its totient is φ = 167207040.

The previous prime is 455913971. The next prime is 455914009. The reversal of 455914004 is 400419554.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (455914009) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 6421289 + ... + 6421359.

It is an arithmetic number, because the mean of its divisors is an integer number (7378560).

Almost surely, 2^455914004 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 455914004, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (531256320).

455914004 is an abundant number, since it is smaller than the sum of its proper divisors (606598636).

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

455914004 is a wasteful number, since it uses less digits than its factorization.

455914004 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 190 (or 175 counting only the distinct ones).

The product of its (nonzero) digits is 14400, while the sum is 32.

The square root of 455914004 is about 21352.1428432839. The cubic root of 455914004 is about 769.6518378767.

The spelling of 455914004 in words is "four hundred fifty-five million, nine hundred fourteen thousand, four".