401904720 has 320 divisors, whose sum is σ = 1666560000. Its totient is φ = 86966784.

The previous prime is 401904709. The next prime is 401904721. The reversal of 401904720 is 27409104.

It is a happy number.

401904720 is a `hidden beast` number, since 4 + 0 + 190 + 472 + 0 = 666.

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 (401904721) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 286581 + ... + 287979.

It is an arithmetic number, because the mean of its divisors is an integer number (5208000).

Almost surely, 2^401904720 is an apocalyptic number.

401904720 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 401904720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (833280000).

401904720 is an abundant number, since it is smaller than the sum of its proper divisors (1264655280).

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

401904720 is a wasteful number, since it uses less digits than its factorization.

401904720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1447 (or 1435 counting only the distinct ones).

The product of its (nonzero) digits is 2016, while the sum is 27.

The square root of 401904720 is about 20047.5614477173. The cubic root of 401904720 is about 737.9739563815.

The spelling of 401904720 in words is "four hundred one million, nine hundred four thousand, seven hundred twenty".