451696896 has 162 divisors, whose sum is σ = 1515361302. Its totient is φ = 129024000.

The previous prime is 451696891. The next prime is 451696907. The reversal of 451696896 is 698696154.

It is a happy number.

It can be written as a sum of positive squares in only one way, i.e., 271063296 + 180633600 = 16464^2 + 13440^2 .

It is not an unprimeable number, because it can be changed into a prime (451696891) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 110896 + ... + 114896.

Almost surely, 2^451696896 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 451696896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (757680651).

451696896 is an abundant number, since it is smaller than the sum of its proper divisors (1063664406).

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

451696896 is a wasteful number, since it uses less digits than its factorization.

451696896 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4037 (or 4013 counting only the distinct ones).

The product of its digits is 2799360, while the sum is 54.

The square root of 451696896 is about 21253.1620235672. The cubic root of 451696896 is about 767.2714444983.

The spelling of 451696896 in words is "four hundred fifty-one million, six hundred ninety-six thousand, eight hundred ninety-six".