401866416 has 120 divisors (see below), whose sum is σ = 1353048320. Its totient is φ = 108770688.

The previous prime is 401866393. The next prime is 401866429. The reversal of 401866416 is 614668104.

401866416 is a `hidden beast` number, since 4 + 0 + 1 + 8 + 6 + 641 + 6 = 666.

It is a super-2 number, since 2×401866416² = 322993232617370112, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 8661 + ... + 29643.

Almost surely, 2^401866416 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 401866416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (676524160).

401866416 is an abundant number, since it is smaller than the sum of its proper divisors (951181904).

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

401866416 is a wasteful number, since it uses less digits than its factorization.

401866416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21023 (or 21014 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 36.

The square root of 401866416 is about 20046.6060967935. The cubic root of 401866416 is about 737.9505111459.

The spelling of 401866416 in words is "four hundred one million, eight hundred sixty-six thousand, four hundred sixteen".