401735936 has 144 divisors (see below), whose sum is σ = 965618304. Its totient is φ = 163233792.

The previous prime is 401735911. The next prime is 401735951. The reversal of 401735936 is 639537104.

It is a happy number.

It is a super-2 number, since 2×401735936² = 322783524547592192, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 401735936.

It is a congruent number.

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, 4840151 + ... + 4840233.

Almost surely, 2^401735936 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 401735936, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (482809152).

401735936 is an abundant number, since it is smaller than the sum of its proper divisors (563882368).

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

401735936 is an equidigital number, since it uses as much as digits as its factorization.

401735936 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 216 (or 202 counting only the distinct ones).

The product of its (nonzero) digits is 68040, while the sum is 38.

The square root of 401735936 is about 20043.3514163675. The cubic root of 401735936 is about 737.8706353449.

The spelling of 401735936 in words is "four hundred one million, seven hundred thirty-five thousand, nine hundred thirty-six".