401290064 has 40 divisors (see below), whose sum is σ = 892317888. Its totient is φ = 171256320.

The previous prime is 401290063. The next prime is 401290079. The reversal of 401290064 is 460092104.

It is a super-2 number, since 2×401290064² = 322067430930248192, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (401290063) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 19559 + ... + 34425.

Almost surely, 2^401290064 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 401290064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (446158944).

401290064 is an abundant number, since it is smaller than the sum of its proper divisors (491027824).

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

401290064 is a wasteful number, since it uses less digits than its factorization.

401290064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15123 (or 15117 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 26.

The square root of 401290064 is about 20032.2256377069. The cubic root of 401290064 is about 737.5975557629.

The spelling of 401290064 in words is "four hundred one million, two hundred ninety thousand, sixty-four".