914397120 has 448 divisors, whose sum is σ = 3973616640. Its totient is φ = 192761856.

The previous prime is 914397091. The next prime is 914397151. The reversal of 914397120 is 21793419.

It is a Cunningham number, because it is equal to 30239²-1.

It is a tau number, because it is divible by the number of its divisors (448).

It is a super-2 number, since 2×914397120² = 1672244186128588800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 785659 + ... + 786821.

It is an arithmetic number, because the mean of its divisors is an integer number (8869680).

Almost surely, 2^914397120 is an apocalyptic number.

914397120 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 914397120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1986808320).

914397120 is an abundant number, since it is smaller than the sum of its proper divisors (3059219520).

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

914397120 is a wasteful number, since it uses less digits than its factorization.

914397120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1209 (or 1193 counting only the distinct ones).

The product of its (nonzero) digits is 13608, while the sum is 36.

The square root of 914397120 is about 30238.9999834651. Note that the first 4 decimals coincide. The cubic root of 914397120 is about 970.6104210388.

The spelling of 914397120 in words is "nine hundred fourteen million, three hundred ninety-seven thousand, one hundred twenty".