401147456 has 28 divisors (see below), whose sum is σ = 837925680. Its totient is φ = 190016640.

The previous prime is 401147449. The next prime is 401147489. The reversal of 401147456 is 654741104.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 163730 + ... + 166161.

Almost surely, 2^401147456 is an apocalyptic number.

It is an amenable number.

401147456 is an abundant number, since it is smaller than the sum of its proper divisors (436778224).

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

401147456 is a wasteful number, since it uses less digits than its factorization.

401147456 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 329922 (or 329912 counting only the distinct ones).

The product of its (nonzero) digits is 13440, while the sum is 32.

The square root of 401147456 is about 20028.6658567165. The cubic root of 401147456 is about 737.5101711132.

The spelling of 401147456 in words is "four hundred one million, one hundred forty-seven thousand, four hundred fifty-six".