416156940 has 336 divisors, whose sum is σ = 1467523008. Its totient is φ = 98537472.

The previous prime is 416156933. The next prime is 416156971. The reversal of 416156940 is 49651614.

416156940 is a `hidden beast` number, since 416 + 156 + 94 + 0 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 416156895 and 416156904.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 111 ways as a sum of consecutive naturals, for example, 5700744 + ... + 5700816.

It is an arithmetic number, because the mean of its divisors is an integer number (4367628).

Almost surely, 2^416156940 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 416156940, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (733761504).

416156940 is an abundant number, since it is smaller than the sum of its proper divisors (1051366068).

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

416156940 is a wasteful number, since it uses less digits than its factorization.

416156940 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 140 (or 123 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 36.

The square root of 416156940 is about 20399.9249998621. The cubic root of 416156940 is about 746.5960946091.

The spelling of 416156940 in words is "four hundred sixteen million, one hundred fifty-six thousand, nine hundred forty".