416740896 has 192 divisors, whose sum is σ = 1428416640. Its totient is φ = 116536320.

The previous prime is 416740861. The next prime is 416740903. The reversal of 416740896 is 698047614.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 121866 + ... + 125238.

It is an arithmetic number, because the mean of its divisors is an integer number (7439670).

Almost surely, 2^416740896 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 416740896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (714208320).

416740896 is an abundant number, since it is smaller than the sum of its proper divisors (1011675744).

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

416740896 is a wasteful number, since it uses less digits than its factorization.

416740896 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3416 (or 3402 counting only the distinct ones).

The product of its (nonzero) digits is 290304, while the sum is 45.

The square root of 416740896 is about 20414.2326821265. The cubic root of 416740896 is about 746.9451420175.

The spelling of 416740896 in words is "four hundred sixteen million, seven hundred forty thousand, eight hundred ninety-six".