946725120 has 432 divisors, whose sum is σ = 3703924224. Its totient is φ = 221184000.

The previous prime is 946725119. The next prime is 946725133. The reversal of 946725120 is 21527649.

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 47 ways as a sum of consecutive naturals, for example, 3928200 + ... + 3928440.

Almost surely, 2^946725120 is an apocalyptic number.

946725120 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 946725120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1851962112).

946725120 is an abundant number, since it is smaller than the sum of its proper divisors (2757199104).

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

946725120 is a wasteful number, since it uses less digits than its factorization.

946725120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 310 (or 293 counting only the distinct ones).

The product of its (nonzero) digits is 30240, while the sum is 36.

The square root of 946725120 is about 30768.8985828222. The cubic root of 946725120 is about 981.9166710028.

The spelling of 946725120 in words is "nine hundred forty-six million, seven hundred twenty-five thousand, one hundred twenty".