403725120 has 112 divisors (see below), whose sum is σ = 1289060160. Its totient is φ = 107053056.

The previous prime is 403725097. The next prime is 403725139. The reversal of 403725120 is 21527304.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 184191 + ... + 186369.

Almost surely, 2^403725120 is an apocalyptic number.

403725120 is a gapful number since it is divisible by the number (40) 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 403725120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (644530080).

403725120 is an abundant number, since it is smaller than the sum of its proper divisors (885335040).

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

403725120 is a wasteful number, since it uses less digits than its factorization.

403725120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2392 (or 2382 counting only the distinct ones).

The product of its (nonzero) digits is 1680, while the sum is 24.

The square root of 403725120 is about 20092.9121831555. The cubic root of 403725120 is about 739.0864792596.

The spelling of 403725120 in words is "four hundred three million, seven hundred twenty-five thousand, one hundred twenty".