416362128 has 160 divisors (see below), whose sum is σ = 1333248000. Its totient is φ = 109029888.

The previous prime is 416362127. The next prime is 416362151. The reversal of 416362128 is 821263614.

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (416362127) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 868993 + ... + 869471.

It is an arithmetic number, because the mean of its divisors is an integer number (8332800).

Almost surely, 2^416362128 is an apocalyptic number.

416362128 is a gapful number since it is divisible by the number (48) 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 416362128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (666624000).

416362128 is an abundant number, since it is smaller than the sum of its proper divisors (916885872).

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

416362128 is a wasteful number, since it uses less digits than its factorization.

416362128 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 709 (or 703 counting only the distinct ones).

The product of its digits is 13824, while the sum is 33.

The square root of 416362128 is about 20404.9535162421. The cubic root of 416362128 is about 746.7187786049.

The spelling of 416362128 in words is "four hundred sixteen million, three hundred sixty-two thousand, one hundred twenty-eight".