401534016 has 112 divisors (see below), whose sum is σ = 1211543424. Its totient is φ = 116269056.

The previous prime is 401533967. The next prime is 401534017. The reversal of 401534016 is 610435104.

It is a super-2 number, since 2×401534016² = 322459132010176512, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is not an unprimeable number, because it can be changed into a prime (401534017) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 37701 + ... + 47163.

It is an arithmetic number, because the mean of its divisors is an integer number (10817352).

Almost surely, 2^401534016 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 401534016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (605771712).

401534016 is an abundant number, since it is smaller than the sum of its proper divisors (810009408).

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

401534016 is a wasteful number, since it uses less digits than its factorization.

401534016 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9508 (or 9498 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 24.

The square root of 401534016 is about 20038.3137015069. The cubic root of 401534016 is about 737.7469920972.

The spelling of 401534016 in words is "four hundred one million, five hundred thirty-four thousand, sixteen".