401527360 has 112 divisors (see below), whose sum is σ = 1036417536. Its totient is φ = 147290112.

The previous prime is 401527351. The next prime is 401527397. The reversal of 401527360 is 63725104.

It is a super-2 number, since 2×401527360² = 322448441657139200, 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, 1093897 + ... + 1094263.

It is an arithmetic number, because the mean of its divisors is an integer number (9253728).

Almost surely, 2^401527360 is an apocalyptic number.

401527360 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 401527360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (518208768).

401527360 is an abundant number, since it is smaller than the sum of its proper divisors (634890176).

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

401527360 is a wasteful number, since it uses less digits than its factorization.

401527360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 660 (or 650 counting only the distinct ones).

The product of its (nonzero) digits is 5040, while the sum is 28.

The square root of 401527360 is about 20038.1476189792. The cubic root of 401527360 is about 737.7429156712.

It can be divided in two parts, 4015 and 27360, that added together give a triangular number (31375 = T₂₅₀).

The spelling of 401527360 in words is "four hundred one million, five hundred twenty-seven thousand, three hundred sixty".