416977680 has 80 divisors (see below), whose sum is σ = 1477298304. Its totient is φ = 95308800.

The previous prime is 416977663. The next prime is 416977697. The reversal of 416977680 is 86779614.

It is an interprime number because it is at equal distance from previous prime (416977663) and next prime (416977697).

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 122421 + ... + 125780.

Almost surely, 2^416977680 is an apocalyptic number.

416977680 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

416977680 is an abundant number, since it is smaller than the sum of its proper divisors (1060320624).

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

416977680 is a wasteful number, since it uses less digits than its factorization.

416977680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 248224 (or 248218 counting only the distinct ones).

The product of its (nonzero) digits is 508032, while the sum is 48.

The square root of 416977680 is about 20420.0313417977. The cubic root of 416977680 is about 747.0865817576.

The spelling of 416977680 in words is "four hundred sixteen million, nine hundred seventy-seven thousand, six hundred eighty".