452054400 has 432 divisors, whose sum is σ = 1789723620. Its totient is φ = 99993600.

The previous prime is 452054389. The next prime is 452054411. The reversal of 452054400 is 4450254.

It is an interprime number because it is at equal distance from previous prime (452054389) and next prime (452054411).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 53 ways as a sum of consecutive naturals, for example, 14582385 + ... + 14582415.

Almost surely, 2^452054400 is an apocalyptic number.

452054400 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 452054400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (894861810).

452054400 is an abundant number, since it is smaller than the sum of its proper divisors (1337669220).

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

452054400 is a wasteful number, since it uses less digits than its factorization.

452054400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 103 (or 48 counting only the distinct ones).

The product of its (nonzero) digits is 3200, while the sum is 24.

The square root of 452054400 is about 21261.5709673580. The cubic root of 452054400 is about 767.4738149208.

Multiplying 452054400 by its sum of digits (24), we get a square (10849305600 = 104160²).

452054400 divided by its sum of digits (24) gives a square (18835600 = 4340²).

The spelling of 452054400 in words is "four hundred fifty-two million, fifty-four thousand, four hundred".