452498400 has 180 divisors, whose sum is σ = 1650409992. Its totient is φ = 120648960.

The previous prime is 452498383. The next prime is 452498411. The reversal of 452498400 is 4894254.

452498400 is a `hidden beast` number, since 4 + 5 + 249 + 8 + 400 = 666.

It is a tau number, because it is divible by the number of its divisors (180).

It is a hoax number, since the sum of its digits (36) 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 (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 61309 + ... + 68291.

Almost surely, 2^452498400 is an apocalyptic number.

452498400 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 452498400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (825204996).

452498400 is an abundant number, since it is smaller than the sum of its proper divisors (1197911592).

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

452498400 is a wasteful number, since it uses less digits than its factorization.

452498400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7015 (or 6993 counting only the distinct ones).

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

The square root of 452498400 is about 21272.0097781098. The cubic root of 452498400 is about 767.7249991974.

The spelling of 452498400 in words is "four hundred fifty-two million, four hundred ninety-eight thousand, four hundred".