401209416 has 64 divisors (see below), whose sum is σ = 1121942400. Its totient is φ = 132840000.

The previous prime is 401209379. The next prime is 401209421. The reversal of 401209416 is 614902104.

401209416 is a `hidden beast` number, since 40 + 1 + 209 + 416 = 666.

It is a super-2 number, since 2×401209416² = 321937990974122112, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a self number, because there is not a number n which added to its sum of digits gives 401209416.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 26466 + ... + 38766.

It is an arithmetic number, because the mean of its divisors is an integer number (17530350).

Almost surely, 2^401209416 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 401209416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (560971200).

401209416 is an abundant number, since it is smaller than the sum of its proper divisors (720732984).

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

401209416 is a wasteful number, since it uses less digits than its factorization.

401209416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12467 (or 12457 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 27.

The square root of 401209416 is about 20030.2125800002. The cubic root of 401209416 is about 737.5481403412.

The spelling of 401209416 in words is "four hundred one million, two hundred nine thousand, four hundred sixteen".