455724720 has 180 divisors, whose sum is σ = 1682579808. Its totient is φ = 110457600.

The previous prime is 455724713. The next prime is 455724727. The reversal of 455724720 is 27427554.

It is a happy number.

455724720 is a `hidden beast` number, since 45 + 572 + 47 + 2 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (455724713) and next prime (455724727).

It is a tau number, because it is divible by the number of its divisors (180).

It is a super-3 number, since 3×455724720³ (a number of 27 digits) contains 333 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (455724727) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 84505 + ... + 89735.

Almost surely, 2^455724720 is an apocalyptic number.

455724720 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 455724720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (841289904).

455724720 is an abundant number, since it is smaller than the sum of its proper divisors (1226855088).

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

455724720 is a wasteful number, since it uses less digits than its factorization.

455724720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5272 (or 5252 counting only the distinct ones).

The product of its (nonzero) digits is 78400, while the sum is 36.

The square root of 455724720 is about 21347.7099474393. The cubic root of 455724720 is about 769.5453097865.

The spelling of 455724720 in words is "four hundred fifty-five million, seven hundred twenty-four thousand, seven hundred twenty".