406249680 has 80 divisors (see below), whose sum is σ = 1333468224. Its totient is φ = 101959680.

The previous prime is 406249643. The next prime is 406249687. The reversal of 406249680 is 86942604.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (406249687) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 45706 + ... + 53865.

Almost surely, 2^406249680 is an apocalyptic number.

406249680 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

406249680 is an abundant number, since it is smaller than the sum of its proper divisors (927218544).

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

406249680 is a wasteful number, since it uses less digits than its factorization.

406249680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 99604 (or 99598 counting only the distinct ones).

The product of its (nonzero) digits is 82944, while the sum is 39.

The square root of 406249680 is about 20155.6364325218. The cubic root of 406249680 is about 740.6238226405.

The spelling of 406249680 in words is "four hundred six million, two hundred forty-nine thousand, six hundred eighty".