452984400 has 600 divisors, whose sum is σ = 1875379968. Its totient is φ = 103680000.

The previous prime is 452984299. The next prime is 452984419. The reversal of 452984400 is 4489254.

It is a tau number, because it is divible by the number of its divisors (600).

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 119 ways as a sum of consecutive naturals, for example, 11048380 + ... + 11048420.

Almost surely, 2^452984400 is an apocalyptic number.

452984400 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 452984400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (937689984).

452984400 is an abundant number, since it is smaller than the sum of its proper divisors (1422395568).

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

452984400 is a wasteful number, since it uses less digits than its factorization.

452984400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 113 (or 93 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 36.

The square root of 452984400 is about 21283.4301746687. The cubic root of 452984400 is about 767.9997558593. Note that the first 3 decimals are identical.

The spelling of 452984400 in words is "four hundred fifty-two million, nine hundred eighty-four thousand, four hundred".