456400896 has 168 divisors, whose sum is σ = 1419423120. Its totient is φ = 130056192.

The previous prime is 456400877. The next prime is 456400907. The reversal of 456400896 is 698004654.

It is a tau number, because it is divible by the number of its divisors (168).

It is a Harshad number since it is a multiple of its sum of digits (42).

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1204035 + ... + 1204413.

Almost surely, 2^456400896 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 456400896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (709711560).

456400896 is an abundant number, since it is smaller than the sum of its proper divisors (963022224).

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

456400896 is an equidigital number, since it uses as much as digits as its factorization.

456400896 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 422 (or 391 counting only the distinct ones).

The product of its (nonzero) digits is 207360, while the sum is 42.

The square root of 456400896 is about 21363.5412794789. The cubic root of 456400896 is about 769.9257228627.

The spelling of 456400896 in words is "four hundred fifty-six million, four hundred thousand, eight hundred ninety-six".