455397120 has 144 divisors (see below), whose sum is σ = 1616149920. Its totient is φ = 121430016.

The previous prime is 455397101. The next prime is 455397157. The reversal of 455397120 is 21793554.

455397120 is a `hidden beast` number, since 4 + 553 + 97 + 12 + 0 = 666.

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

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 27972 + ... + 41148.

Almost surely, 2^455397120 is an apocalyptic number.

455397120 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 455397120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (808074960).

455397120 is an abundant number, since it is smaller than the sum of its proper divisors (1160752800).

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

455397120 is a wasteful number, since it uses less digits than its factorization.

455397120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13207 (or 13187 counting only the distinct ones).

The product of its (nonzero) digits is 37800, while the sum is 36.

The square root of 455397120 is about 21340.0356138409. The cubic root of 455397120 is about 769.3608684157.

The spelling of 455397120 in words is "four hundred fifty-five million, three hundred ninety-seven thousand, one hundred twenty".