401290536 has 96 divisors (see below), whose sum is σ = 1052421120. Its totient is φ = 127491840.

The previous prime is 401290531. The next prime is 401290573. The reversal of 401290536 is 635092104.

401290536 = T₃₃₁ + T₃₃₂ + ... + T₁₃₄₆.

It is a super-2 number, since 2×401290536² = 322068188566334592, which contains 22 as substring.

It is a hoax number, since the sum of its digits (30) coincides with the sum of the digits of its distinct prime factors.

It is not an unprimeable number, because it can be changed into a prime (401290531) 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, 2929060 + ... + 2929196.

It is an arithmetic number, because the mean of its divisors is an integer number (10962720).

Almost surely, 2^401290536 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 401290536, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (526210560).

401290536 is an abundant number, since it is smaller than the sum of its proper divisors (651130584).

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

401290536 is a wasteful number, since it uses less digits than its factorization.

401290536 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 335 (or 300 counting only the distinct ones).

The product of its (nonzero) digits is 6480, while the sum is 30.

The square root of 401290536 is about 20032.2374187209. The cubic root of 401290536 is about 737.5978449518.

The spelling of 401290536 in words is "four hundred one million, two hundred ninety thousand, five hundred thirty-six".