914634400 has 72 divisors (see below), whose sum is σ = 2237669280. Its totient is φ = 365064960.

The previous prime is 914634397. The next prime is 914634401. The reversal of 914634400 is 4436419.

It is not an unprimeable number, because it can be changed into a prime (914634401) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 494277 + ... + 496123.

It is an arithmetic number, because the mean of its divisors is an integer number (31078740).

Almost surely, 2^914634400 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 914634400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1118834640).

914634400 is an abundant number, since it is smaller than the sum of its proper divisors (1323034880).

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

914634400 is a wasteful number, since it uses less digits than its factorization.

914634400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2486 (or 2473 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 31.

The square root of 914634400 is about 30242.9231391412. The cubic root of 914634400 is about 970.6943694377.

The spelling of 914634400 in words is "nine hundred fourteen million, six hundred thirty-four thousand, four hundred".