456674400 has 864 divisors, whose sum is σ = 2149737408. Its totient is φ = 88473600.

The previous prime is 456674371. The next prime is 456674489. The reversal of 456674400 is 4476654.

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 143 ways as a sum of consecutive naturals, for example, 11138380 + ... + 11138420.

It is an arithmetic number, because the mean of its divisors is an integer number (2488122).

Almost surely, 2^456674400 is an apocalyptic number.

456674400 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 456674400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1074868704).

456674400 is an abundant number, since it is smaller than the sum of its proper divisors (1693063008).

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

456674400 is a wasteful number, since it uses less digits than its factorization.

456674400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 104 (or 88 counting only the distinct ones).

The product of its (nonzero) digits is 80640, while the sum is 36.

The square root of 456674400 is about 21369.9415067052. The cubic root of 456674400 is about 770.0794880554.

The spelling of 456674400 in words is "four hundred fifty-six million, six hundred seventy-four thousand, four hundred".