416290040 has 32 divisors (see below), whose sum is σ = 949851360. Its totient is φ = 164169600.

The previous prime is 416290031. The next prime is 416290081. The reversal of 416290040 is 40092614.

It is a junction number, because it is equal to n+sod(n) for n = 416289991 and 416290009.

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, 70451 + ... + 76130.

It is an arithmetic number, because the mean of its divisors is an integer number (29682855).

Almost surely, 2^416290040 is an apocalyptic number.

416290040 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

416290040 is an abundant number, since it is smaller than the sum of its proper divisors (533561320).

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

416290040 is a wasteful number, since it uses less digits than its factorization.

416290040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 146663 (or 146659 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 26.

The square root of 416290040 is about 20403.1870059557. The cubic root of 416290040 is about 746.6756810491.

The spelling of 416290040 in words is "four hundred sixteen million, two hundred ninety thousand, forty".