452394432 has 336 divisors, whose sum is σ = 1583375040. Its totient is φ = 120766464.

The previous prime is 452394407. The next prime is 452394457. The reversal of 452394432 is 234493254.

452394432 is a `hidden beast` number, since 4 + 523 + 94 + 43 + 2 = 666.

It is an interprime number because it is at equal distance from previous prime (452394407) and next prime (452394457).

It is a tau number, because it is divible by the number of its divisors (336).

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

Its product of digits (103680) is a multiple of the sum of its prime factors (180).

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, 6197148 + ... + 6197220.

Almost surely, 2^452394432 is an apocalyptic number.

452394432 is a gapful number since it is divisible by the number (42) 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 452394432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (791687520).

452394432 is an abundant number, since it is smaller than the sum of its proper divisors (1130980608).

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

452394432 is a wasteful number, since it uses less digits than its factorization.

452394432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 180 (or 167 counting only the distinct ones).

The product of its digits is 103680, while the sum is 36.

The square root of 452394432 is about 21269.5658629884. The cubic root of 452394432 is about 767.6661960821. Note that the first 3 decimals are identical.

The spelling of 452394432 in words is "four hundred fifty-two million, three hundred ninety-four thousand, four hundred thirty-two".