401249216 has 56 divisors (see below), whose sum is σ = 820155840. Its totient is φ = 194688000.

The previous prime is 401249209. The next prime is 401249231. The reversal of 401249216 is 612942104.

It is a super-2 number, since 2×401249216² = 322001866681229312, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 307766 + ... + 309066.

It is an arithmetic number, because the mean of its divisors is an integer number (14645640).

Almost surely, 2^401249216 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 401249216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (410077920).

401249216 is an abundant number, since it is smaller than the sum of its proper divisors (418906624).

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

401249216 is a wasteful number, since it uses less digits than its factorization.

401249216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1453 (or 1443 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 29.

The square root of 401249216 is about 20031.2060545540. The cubic root of 401249216 is about 737.5725278092.

The spelling of 401249216 in words is "four hundred one million, two hundred forty-nine thousand, two hundred sixteen".