416403780 has 192 divisors, whose sum is σ = 1373718528. Its totient is φ = 93265920.

The previous prime is 416403761. The next prime is 416403781. The reversal of 416403780 is 87304614.

It is a Smith number, since the sum of its digits (33) coincides with the sum of the digits of its prime factors.

It is not an unprimeable number, because it can be changed into a prime (416403781) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 410554 + ... + 411566.

It is an arithmetic number, because the mean of its divisors is an integer number (7154784).

Almost surely, 2^416403780 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 416403780, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (686859264).

416403780 is an abundant number, since it is smaller than the sum of its proper divisors (957314748).

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

416403780 is a wasteful number, since it uses less digits than its factorization.

416403780 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1086 (or 1084 counting only the distinct ones).

The product of its (nonzero) digits is 16128, while the sum is 33.

The square root of 416403780 is about 20405.9741252409. The cubic root of 416403780 is about 746.7436778384.

The spelling of 416403780 in words is "four hundred sixteen million, four hundred three thousand, seven hundred eighty".