4492454400 has 600 divisors, whose sum is σ = 19032874080. Its totient is φ = 1025187840.

The previous prime is 4492454399. The next prime is 4492454413. The reversal of 4492454400 is 44542944.

It is a happy number.

4492454400 is a `hidden beast` number, since 4 + 4 + 9 + 245 + 4 + 400 = 666.

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 an unprimeable number.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 7257291 + ... + 7257909.

Almost surely, 2^4492454400 is an apocalyptic number.

4492454400 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 4492454400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9516437040).

4492454400 is an abundant number, since it is smaller than the sum of its proper divisors (14540419680).

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

4492454400 is an equidigital number, since it uses as much as digits as its factorization.

4492454400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 666 (or 636 counting only the distinct ones).

The product of its (nonzero) digits is 92160, while the sum is 36.

The square root of 4492454400 is about 67025.7741469653. The cubic root of 4492454400 is about 1650.0403295928.

The spelling of 4492454400 in words is "four billion, four hundred ninety-two million, four hundred fifty-four thousand, four hundred".