416780364 has 288 divisors, whose sum is σ = 1398974976. Its totient is φ = 93450240.

The previous prime is 416780363. The next prime is 416780387. The reversal of 416780364 is 463087614.

It is a hoax number, since the sum of its digits (39) 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 (39).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (416780363) by changing a digit.

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 95 ways as a sum of consecutive naturals, for example, 2654574 + ... + 2654730.

It is an arithmetic number, because the mean of its divisors is an integer number (4857552).

Almost surely, 2^416780364 is an apocalyptic number.

416780364 is a gapful number since it is divisible by the number (44) 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 416780364, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (699487488).

416780364 is an abundant number, since it is smaller than the sum of its proper divisors (982194612).

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

416780364 is a wasteful number, since it uses less digits than its factorization.

416780364 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 225 (or 210 counting only the distinct ones).

The product of its (nonzero) digits is 96768, while the sum is 39.

The square root of 416780364 is about 20415.1993377483. The cubic root of 416780364 is about 746.9687214170.

The spelling of 416780364 in words is "four hundred sixteen million, seven hundred eighty thousand, three hundred sixty-four".