416480425790 has 288 divisors, whose sum is σ = 950670883008. Its totient is φ = 130448102400.

The previous prime is 416480425787. The next prime is 416480425793. The reversal of 416480425790 is 97524084614.

It is an interprime number because it is at equal distance from previous prime (416480425787) and next prime (416480425793).

It is a Smith number, since the sum of its digits (50) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (416480425793) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 403175114 + ... + 403176146.

It is an arithmetic number, because the mean of its divisors is an integer number (3300940566).

Almost surely, 2^416480425790 is an apocalyptic number.

416480425790 is an abundant number, since it is smaller than the sum of its proper divisors (534190457218).

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

416480425790 is a wasteful number, since it uses less digits than its factorization.

416480425790 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1184 (or 1154 counting only the distinct ones).

The product of its (nonzero) digits is 1935360, while the sum is 50.

The spelling of 416480425790 in words is "four hundred sixteen billion, four hundred eighty million, four hundred twenty-five thousand, seven hundred ninety".