401439360 has 384 divisors, whose sum is σ = 1582338240. Its totient is φ = 86016000.

The previous prime is 401439329. The next prime is 401439383. The reversal of 401439360 is 63934104.

It is a tau number, because it is divible by the number of its divisors (384).

It is a super-2 number, since 2×401439360² = 322307119514419200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1599235 + ... + 1599485.

Almost surely, 2^401439360 is an apocalyptic number.

401439360 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 401439360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (791169120).

401439360 is an abundant number, since it is smaller than the sum of its proper divisors (1180898880).

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

401439360 is a wasteful number, since it uses less digits than its factorization.

401439360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 304 (or 285 counting only the distinct ones).

The product of its (nonzero) digits is 7776, while the sum is 30.

The square root of 401439360 is about 20035.9516869052. The cubic root of 401439360 is about 737.6890163803.

The spelling of 401439360 in words is "four hundred one million, four hundred thirty-nine thousand, three hundred sixty".