401451024 has 80 divisors (see below), whose sum is σ = 1120539392. Its totient is φ = 123116544.

The previous prime is 401451007. The next prime is 401451047. The reversal of 401451024 is 420154104.

It is a happy number.

It is a super-2 number, since 2×401451024² = 322325849341297152, which contains 22 as substring.

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, 228132 + ... + 229884.

Almost surely, 2^401451024 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 401451024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (560269696).

401451024 is an abundant number, since it is smaller than the sum of its proper divisors (719088368).

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

401451024 is a wasteful number, since it uses less digits than its factorization.

401451024 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2144 (or 2138 counting only the distinct ones).

The product of its (nonzero) digits is 640, while the sum is 21.

The square root of 401451024 is about 20036.2427615559. The cubic root of 401451024 is about 737.6961609391.

The spelling of 401451024 in words is "four hundred one million, four hundred fifty-one thousand, twenty-four".