416802672 has 300 divisors, whose sum is σ = 1433272104. Its totient is φ = 115914240.

The previous prime is 416802649. The next prime is 416802713. The reversal of 416802672 is 276208614.

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 pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 2409178 + ... + 2409350.

Almost surely, 2^416802672 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 416802672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (716636052).

416802672 is an abundant number, since it is smaller than the sum of its proper divisors (1016469432).

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

416802672 is a wasteful number, since it uses less digits than its factorization.

416802672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 230 (or 202 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 36.

The square root of 416802672 is about 20415.7456880713. The cubic root of 416802672 is about 746.9820482452.

The spelling of 416802672 in words is "four hundred sixteen million, eight hundred two thousand, six hundred seventy-two".