417053280 has 96 divisors (see below), whose sum is σ = 1501403904. Its totient is φ = 95325696.

The previous prime is 417053257. The next prime is 417053383. The reversal of 417053280 is 82350714.

It is a tau number, because it is divible by the number of its divisors (96).

It is a hoax number, since the sum of its digits (30) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (30).

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, 58702 + ... + 65421.

It is an arithmetic number, because the mean of its divisors is an integer number (15639624).

Almost surely, 2^417053280 is an apocalyptic number.

417053280 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

417053280 is an abundant number, since it is smaller than the sum of its proper divisors (1084350624).

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

417053280 is a wasteful number, since it uses less digits than its factorization.

417053280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 124148 (or 124140 counting only the distinct ones).

The product of its (nonzero) digits is 6720, while the sum is 30.

The square root of 417053280 is about 20421.8823814065. The cubic root of 417053280 is about 747.1317291242.

The spelling of 417053280 in words is "four hundred seventeen million, fifty-three thousand, two hundred eighty".