401249436 has 144 divisors (see below), whose sum is σ = 1165552416. Its totient is φ = 106745856.

The previous prime is 401249417. The next prime is 401249437. The reversal of 401249436 is 634942104.

It is a super-2 number, since 2×401249436² = 322002219780636192, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 401249397 and 401249406.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (401249437) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1369306 + ... + 1369598.

It is an arithmetic number, because the mean of its divisors is an integer number (8094114).

Almost surely, 2^401249436 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 401249436, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (582776208).

401249436 is an abundant number, since it is smaller than the sum of its proper divisors (764302980).

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

401249436 is a wasteful number, since it uses less digits than its factorization.

401249436 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 468 (or 459 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 33.

The square root of 401249436 is about 20031.2115459849. The cubic root of 401249436 is about 737.5726626099.

The spelling of 401249436 in words is "four hundred one million, two hundred forty-nine thousand, four hundred thirty-six".