416730960 has 80 divisors (see below), whose sum is σ = 1435414080. Its totient is φ = 111127680.

The previous prime is 416730953. The next prime is 416730991. The reversal of 416730960 is 69037614.

It is a tau number, because it is divible by the number of its divisors (80).

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 15 ways as a sum of consecutive naturals, for example, 94306 + ... + 98625.

It is an arithmetic number, because the mean of its divisors is an integer number (17942676).

Almost surely, 2^416730960 is an apocalyptic number.

416730960 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

416730960 is an abundant number, since it is smaller than the sum of its proper divisors (1018683120).

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

416730960 is a wasteful number, since it uses less digits than its factorization.

416730960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 192953 (or 192941 counting only the distinct ones).

The product of its (nonzero) digits is 27216, while the sum is 36.

The square root of 416730960 is about 20413.9893210514. The cubic root of 416730960 is about 746.9392057103.

The spelling of 416730960 in words is "four hundred sixteen million, seven hundred thirty thousand, nine hundred sixty".