416541640 has 16 divisors (see below), whose sum is σ = 937218780. Its totient is φ = 166616640.

The previous prime is 416541623. The next prime is 416541659. The reversal of 416541640 is 46145614.

It can be written as a sum of positive squares in 2 ways, for example, as 394657956 + 21883684 = 19866^2 + 4678^2 .

It is a super-3 number, since 3×416541640³ (a number of 27 digits) contains 333 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 5206731 + ... + 5206810.

Almost surely, 2^416541640 is an apocalyptic number.

416541640 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

416541640 is an abundant number, since it is smaller than the sum of its proper divisors (520677140).

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

416541640 is a wasteful number, since it uses less digits than its factorization.

416541640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10413552 (or 10413548 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 31.

The square root of 416541640 is about 20409.3517780453. The cubic root of 416541640 is about 746.8260776064.

The spelling of 416541640 in words is "four hundred sixteen million, five hundred forty-one thousand, six hundred forty".