401400252 has 192 divisors, whose sum is σ = 1199923200. Its totient is φ = 114912000.

The previous prime is 401400211. The next prime is 401400401. The reversal of 401400252 is 252004104.

It is a super-2 number, since 2×401400252² = 322244324611327008, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2101477 + ... + 2101667.

It is an arithmetic number, because the mean of its divisors is an integer number (6249600).

Almost surely, 2^401400252 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 401400252, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (599961600).

401400252 is an abundant number, since it is smaller than the sum of its proper divisors (798522948).

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

401400252 is a wasteful number, since it uses less digits than its factorization.

401400252 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 305 (or 297 counting only the distinct ones).

The product of its (nonzero) digits is 320, while the sum is 18.

The square root of 401400252 is about 20034.9757174797. The cubic root of 401400252 is about 737.6650605173.

Adding to 401400252 its reverse (252004104), we get a palindrome (653404356).

The spelling of 401400252 in words is "four hundred one million, four hundred thousand, two hundred fifty-two".