455101920 has 576 divisors, whose sum is σ = 2007742464. Its totient is φ = 91238400.

The previous prime is 455101919. The next prime is 455101939. The reversal of 455101920 is 29101554.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 3013845 + ... + 3013995.

It is an arithmetic number, because the mean of its divisors is an integer number (3485664).

Almost surely, 2^455101920 is an apocalyptic number.

455101920 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 455101920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1003871232).

455101920 is an abundant number, since it is smaller than the sum of its proper divisors (1552640544).

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

455101920 is a wasteful number, since it uses less digits than its factorization.

455101920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 215 (or 204 counting only the distinct ones).

The product of its (nonzero) digits is 1800, while the sum is 27.

The square root of 455101920 is about 21333.1179155791. The cubic root of 455101920 is about 769.1945927192.

The spelling of 455101920 in words is "four hundred fifty-five million, one hundred one thousand, nine hundred twenty".