416346480 has 420 divisors, whose sum is σ = 1622318040. Its totient is φ = 99221760.

The previous prime is 416346479. The next prime is 416346551. The reversal of 416346480 is 84643614.

416346480 is a `hidden beast` number, since 4 + 1 + 6 + 3 + 4 + 648 + 0 = 666.

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 (13) of ones.

It is a polite number, since it can be written in 83 ways as a sum of consecutive naturals, for example, 7056691 + ... + 7056749.

It is an arithmetic number, because the mean of its divisors is an integer number (3862662).

Almost surely, 2^416346480 is an apocalyptic number.

416346480 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 416346480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (811159020).

416346480 is an abundant number, since it is smaller than the sum of its proper divisors (1205971560).

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

416346480 is a wasteful number, since it uses less digits than its factorization.

416346480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 112 (or 80 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 36.

The square root of 416346480 is about 20404.5700763334. The cubic root of 416346480 is about 746.7094239262.

The spelling of 416346480 in words is "four hundred sixteen million, three hundred forty-six thousand, four hundred eighty".