914328000 has 560 divisors, whose sum is σ = 3624645024. Its totient is φ = 226713600.

The previous prime is 914327977. The next prime is 914328001. The reversal of 914328000 is 823419.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (914328001) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 11015959 + ... + 11016041.

Almost surely, 2^914328000 is an apocalyptic number.

914328000 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 914328000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1812322512).

914328000 is an abundant number, since it is smaller than the sum of its proper divisors (2710317024).

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

914328000 is a wasteful number, since it uses less digits than its factorization.

914328000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 139 (or 110 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 27.

The square root of 914328000 is about 30237.8570669285. The cubic root of 914328000 is about 970.5859640200.

The spelling of 914328000 in words is "nine hundred fourteen million, three hundred twenty-eight thousand".