416692080 has 480 divisors, whose sum is σ = 1737031680. Its totient is φ = 91445760.

The previous prime is 416692069. The next prime is 416692139. The reversal of 416692080 is 80296614.

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 95 ways as a sum of consecutive naturals, for example, 3280977 + ... + 3281103.

It is an arithmetic number, because the mean of its divisors is an integer number (3618816).

Almost surely, 2^416692080 is an apocalyptic number.

416692080 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 416692080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (868515840).

416692080 is an abundant number, since it is smaller than the sum of its proper divisors (1320339600).

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

416692080 is a wasteful number, since it uses less digits than its factorization.

416692080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 194 (or 175 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 36.

The square root of 416692080 is about 20413.0370106949. The cubic root of 416692080 is about 746.9159757752.

The spelling of 416692080 in words is "four hundred sixteen million, six hundred ninety-two thousand, eighty".