914256000 has 384 divisors, whose sum is σ = 3756504960. Its totient is φ = 208742400.

The previous prime is 914255987. The next prime is 914256017. The reversal of 914256000 is 652419.

It is a tau number, because it is divible by the number of its divisors (384).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1007547 + ... + 1008453.

It is an arithmetic number, because the mean of its divisors is an integer number (9782565).

Almost surely, 2^914256000 is an apocalyptic number.

914256000 is a gapful number since it is divisible by the number (90) 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 914256000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1878252480).

914256000 is an abundant number, since it is smaller than the sum of its proper divisors (2842248960).

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

914256000 is a wasteful number, since it uses less digits than its factorization.

914256000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 949 (or 924 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 27.

The square root of 914256000 is about 30236.6664829310. Note that the first 3 decimals coincide. The cubic root of 914256000 is about 970.5604866479.

The spelling of 914256000 in words is "nine hundred fourteen million, two hundred fifty-six thousand".