401398752 has 48 divisors (see below), whose sum is σ = 1059806160. Its totient is φ = 133020672.

The previous prime is 401398741. The next prime is 401398759. The reversal of 401398752 is 257893104.

It is a tau number, because it is divible by the number of its divisors (48).

It is a super-2 number, since 2×401398752² = 322241916214315008, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 401398752.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (401398759) 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, 4524 + ... + 28692.

It is an arithmetic number, because the mean of its divisors is an integer number (22079295).

Almost surely, 2^401398752 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 401398752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (529903080).

401398752 is an abundant number, since it is smaller than the sum of its proper divisors (658407408).

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

401398752 is a wasteful number, since it uses less digits than its factorization.

401398752 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 24355 (or 24347 counting only the distinct ones).

The product of its (nonzero) digits is 60480, while the sum is 39.

The square root of 401398752 is about 20034.9382829097. The cubic root of 401398752 is about 737.6641416515.

The spelling of 401398752 in words is "four hundred one million, three hundred ninety-eight thousand, seven hundred fifty-two".