401501664 has 192 divisors, whose sum is σ = 1221454080. Its totient is φ = 128217600.

The previous prime is 401501657. The next prime is 401501669. The reversal of 401501664 is 466105104.

It is a super-2 number, since 2×401501664² = 322407172389537792, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (401501669) 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, 3752299 + ... + 3752405.

It is an arithmetic number, because the mean of its divisors is an integer number (6361740).

Almost surely, 2^401501664 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 401501664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (610727040).

401501664 is an abundant number, since it is smaller than the sum of its proper divisors (819952416).

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

401501664 is a wasteful number, since it uses less digits than its factorization.

401501664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 270 (or 256 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

The square root of 401501664 is about 20037.5064316895. The cubic root of 401501664 is about 737.7271778924.

Adding to 401501664 its reverse (466105104), we get a palindrome (867606768).

It can be divided in two parts, 40150 and 1664, that added together give a palindrome (41814).

The spelling of 401501664 in words is "four hundred one million, five hundred one thousand, six hundred sixty-four".