452390400 has 960 divisors, whose sum is σ = 2192002560. Its totient is φ = 88473600.

The previous prime is 452390377. The next prime is 452390461. The reversal of 452390400 is 4093254.

It is a tau number, because it is divible by the number of its divisors (960).

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 26611192 + ... + 26611208.

It is an arithmetic number, because the mean of its divisors is an integer number (2283336).

Almost surely, 2^452390400 is an apocalyptic number.

452390400 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 452390400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1096001280).

452390400 is an abundant number, since it is smaller than the sum of its proper divisors (1739612160).

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

452390400 is a wasteful number, since it uses less digits than its factorization.

452390400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 72 (or 45 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 27.

The square root of 452390400 is about 21269.4710794603. The cubic root of 452390400 is about 767.6639154475.

The spelling of 452390400 in words is "four hundred fifty-two million, three hundred ninety thousand, four hundred".