455293920 has 96 divisors (see below), whose sum is σ = 1440270720. Its totient is φ = 120896000.

The previous prime is 455293913. The next prime is 455293921. The reversal of 455293920 is 29392554.

It is a tau number, because it is divible by the number of its divisors (96).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (455293921) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 118591 + ... + 122369.

It is an arithmetic number, because the mean of its divisors is an integer number (15002820).

Almost surely, 2^455293920 is an apocalyptic number.

455293920 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 455293920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (720135360).

455293920 is an abundant number, since it is smaller than the sum of its proper divisors (984976800).

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

455293920 is a wasteful number, since it uses less digits than its factorization.

455293920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4048 (or 4040 counting only the distinct ones).

The product of its (nonzero) digits is 97200, while the sum is 39.

The square root of 455293920 is about 21337.6174864955. The cubic root of 455293920 is about 769.3027476851.

The spelling of 455293920 in words is "four hundred fifty-five million, two hundred ninety-three thousand, nine hundred twenty".