452754720 has 288 divisors, whose sum is σ = 1708185024. Its totient is φ = 108288000.

The previous prime is 452754719. The next prime is 452754739. The reversal of 452754720 is 27457254.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (288).

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

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, 1599699 + ... + 1599981.

It is an arithmetic number, because the mean of its divisors is an integer number (5931198).

Almost surely, 2^452754720 is an apocalyptic number.

452754720 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 452754720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (854092512).

452754720 is an abundant number, since it is smaller than the sum of its proper divisors (1255430304).

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

452754720 is a wasteful number, since it uses less digits than its factorization.

452754720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 416 (or 405 counting only the distinct ones).

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

The square root of 452754720 is about 21278.0337437462. The cubic root of 452754720 is about 767.8699324002.

The spelling of 452754720 in words is "four hundred fifty-two million, seven hundred fifty-four thousand, seven hundred twenty".