455965920 has 144 divisors (see below), whose sum is σ = 1594140912. Its totient is φ = 118609920.

The previous prime is 455965919. The next prime is 455965973. The reversal of 455965920 is 29569554.

It is a happy number.

455965920 is a `hidden beast` number, since 4 + 5 + 59 + 6 + 592 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 55179 + ... + 62901.

It is an arithmetic number, because the mean of its divisors is an integer number (11070423).

Almost surely, 2^455965920 is an apocalyptic number.

455965920 is a gapful number since it is divisible by the number (40) 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 455965920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (797070456).

455965920 is an abundant number, since it is smaller than the sum of its proper divisors (1138174992).

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

455965920 is a wasteful number, since it uses less digits than its factorization.

455965920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7785 (or 7774 counting only the distinct ones).

The product of its (nonzero) digits is 486000, while the sum is 45.

The square root of 455965920 is about 21353.3585180411. The cubic root of 455965920 is about 769.6810507896.

The spelling of 455965920 in words is "four hundred fifty-five million, nine hundred sixty-five thousand, nine hundred twenty".