416420940 has 192 divisors, whose sum is σ = 1321334784. Its totient is φ = 97293312.

The previous prime is 416420897. The next prime is 416420941. The reversal of 416420940 is 49024614.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 416420898 and 416420907.

It is not an unprimeable number, because it can be changed into a prime (416420941) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1356267 + ... + 1356573.

It is an arithmetic number, because the mean of its divisors is an integer number (6881952).

Almost surely, 2^416420940 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 416420940, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (660667392).

416420940 is an abundant number, since it is smaller than the sum of its proper divisors (904913844).

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

416420940 is a wasteful number, since it uses less digits than its factorization.

416420940 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 416 (or 414 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 30.

The square root of 416420940 is about 20406.3945860115. The cubic root of 416420940 is about 746.7539354666.

The spelling of 416420940 in words is "four hundred sixteen million, four hundred twenty thousand, nine hundred forty".