401713536 has 256 divisors, whose sum is σ = 1321920000. Its totient is φ = 105480192.

The previous prime is 401713517. The next prime is 401713537. The reversal of 401713536 is 635317104.

It is a super-2 number, since 2×401713536² = 322747530011246592, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (401713537) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2695990 + ... + 2696138.

It is an arithmetic number, because the mean of its divisors is an integer number (5163750).

Almost surely, 2^401713536 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 401713536, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (660960000).

401713536 is an abundant number, since it is smaller than the sum of its proper divisors (920206464).

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

401713536 is a wasteful number, since it uses less digits than its factorization.

401713536 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 249 (or 237 counting only the distinct ones).

The product of its (nonzero) digits is 7560, while the sum is 30.

The square root of 401713536 is about 20042.7926197923. The cubic root of 401713536 is about 737.8569210217.

The spelling of 401713536 in words is "four hundred one million, seven hundred thirteen thousand, five hundred thirty-six".