416074560 has 336 divisors, whose sum is σ = 1525438656. Its totient is φ = 95232000.

The previous prime is 416074553. The next prime is 416074619. The reversal of 416074560 is 65470614.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 10148140 + ... + 10148180.

It is an arithmetic number, because the mean of its divisors is an integer number (4539996).

Almost surely, 2^416074560 is an apocalyptic number.

416074560 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 416074560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (762719328).

416074560 is an abundant number, since it is smaller than the sum of its proper divisors (1109364096).

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

416074560 is a wasteful number, since it uses less digits than its factorization.

416074560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 134 (or 93 counting only the distinct ones).

The product of its (nonzero) digits is 20160, while the sum is 33.

The square root of 416074560 is about 20397.9057748584. The cubic root of 416074560 is about 746.5468274223.

The spelling of 416074560 in words is "four hundred sixteen million, seventy-four thousand, five hundred sixty".