401459472 has 120 divisors (see below), whose sum is σ = 1163864000. Its totient is φ = 129081600.

The previous prime is 401459467. The next prime is 401459479. The reversal of 401459472 is 274954104.

It is a happy number.

401459472 is a `hidden beast` number, since 40 + 145 + 9 + 472 = 666.

It is a super-2 number, since 2×401459472² = 322339415317037568, which contains 22 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (401459479) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 804279 + ... + 804777.

Almost surely, 2^401459472 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 401459472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (581932000).

401459472 is an abundant number, since it is smaller than the sum of its proper divisors (762404528).

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

401459472 is a wasteful number, since it uses less digits than its factorization.

401459472 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 701 (or 692 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 36.

The square root of 401459472 is about 20036.4535784155. The cubic root of 401459472 is about 737.7013355126.

The spelling of 401459472 in words is "four hundred one million, four hundred fifty-nine thousand, four hundred seventy-two".