455400120 has 192 divisors, whose sum is σ = 1628877600. Its totient is φ = 101498880.

The previous prime is 455400109. The next prime is 455400133. The reversal of 455400120 is 21004554.

It is a super-3 number, since 3×455400120³ (a number of 27 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 240136 + ... + 242024.

Almost surely, 2^455400120 is an apocalyptic number.

455400120 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 455400120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (814438800).

455400120 is an abundant number, since it is smaller than the sum of its proper divisors (1173477480).

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

455400120 is a wasteful number, since it uses less digits than its factorization.

455400120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1958 (or 1947 counting only the distinct ones).

The product of its (nonzero) digits is 800, while the sum is 21.

The square root of 455400120 is about 21340.1059041421. The cubic root of 455400120 is about 769.3625578405.

Adding to 455400120 its reverse (21004554), we get a palindrome (476404674).

The spelling of 455400120 in words is "four hundred fifty-five million, four hundred thousand, one hundred twenty".