416424680 has 32 divisors (see below), whose sum is σ = 1070807040. Its totient is φ = 142774080.

The previous prime is 416424661. The next prime is 416424689. The reversal of 416424680 is 86424614.

It is a super-2 number, since 2×416424680² = 346819028226204800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (35).

It is a self number, because there is not a number n which added to its sum of digits gives 416424680.

It is not an unprimeable number, because it can be changed into a prime (416424689) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 743336 + ... + 743895.

It is an arithmetic number, because the mean of its divisors is an integer number (33462720).

Almost surely, 2^416424680 is an apocalyptic number.

416424680 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

416424680 is an abundant number, since it is smaller than the sum of its proper divisors (654382360).

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

416424680 is a wasteful number, since it uses less digits than its factorization.

416424680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1487249 (or 1487245 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 35.

The square root of 416424680 is about 20406.4862237476. The cubic root of 416424680 is about 746.7561710661.

The spelling of 416424680 in words is "four hundred sixteen million, four hundred twenty-four thousand, six hundred eighty".