452801376 has 144 divisors (see below), whose sum is σ = 1362711168. Its totient is φ = 142387200.

The previous prime is 452801359. The next prime is 452801381. The reversal of 452801376 is 673108254.

452801376 is a `hidden beast` number, since 4 + 5 + 280 + 1 + 376 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a super-2 number, since 2×452801376² = 410058172214986752, which contains 22 as substring.

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

It is a self number, because there is not a number n which added to its sum of digits gives 452801376.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 365430 + ... + 366666.

It is an arithmetic number, because the mean of its divisors is an integer number (9463272).

Almost surely, 2^452801376 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 452801376, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (681355584).

452801376 is an abundant number, since it is smaller than the sum of its proper divisors (909909792).

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

452801376 is a wasteful number, since it uses less digits than its factorization.

452801376 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1325 (or 1314 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 36.

The square root of 452801376 is about 21279.1300574060. The cubic root of 452801376 is about 767.8963076151.

It can be divided in two parts, 45280 and 1376, that added together give a 6-th power (46656 = 6⁶).

The spelling of 452801376 in words is "four hundred fifty-two million, eight hundred one thousand, three hundred seventy-six".