916454400 has 132 divisors (see below), whose sum is σ = 3029183352. Its totient is φ = 244367360.

The previous prime is 916454393. The next prime is 916454447. The reversal of 916454400 is 4454619.

It is a congruent number.

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, 70834 + ... + 82766.

Almost surely, 2^916454400 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 916454400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1514591676).

916454400 is an abundant number, since it is smaller than the sum of its proper divisors (2112728952).

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

916454400 is a wasteful number, since it uses less digits than its factorization.

916454400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11966 (or 11943 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 33.

The square root of 916454400 is about 30272.9978693885. The cubic root of 916454400 is about 971.3377934616.

The spelling of 916454400 in words is "nine hundred sixteen million, four hundred fifty-four thousand, four hundred".