416068820 has 24 divisors (see below), whose sum is σ = 895057128. Its totient is φ = 162368000.

The previous prime is 416068813. The next prime is 416068837. The reversal of 416068820 is 28860614.

It can be written as a sum of positive squares in 4 ways, for example, as 6330256 + 409738564 = 2516^2 + 20242^2 .

It is a super-2 number, since 2×416068820² = 346226525952384800, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 252881 + ... + 254520.

It is an arithmetic number, because the mean of its divisors is an integer number (37294047).

Almost surely, 2^416068820 is an apocalyptic number.

It is an amenable number.

416068820 is an abundant number, since it is smaller than the sum of its proper divisors (478988308).

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

416068820 is a wasteful number, since it uses less digits than its factorization.

416068820 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 507451 (or 507449 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 35.

The square root of 416068820 is about 20397.7650736545. The cubic root of 416068820 is about 746.5433943849.

The spelling of 416068820 in words is "four hundred sixteen million, sixty-eight thousand, eight hundred twenty".