406264140 has 96 divisors (see below), whose sum is σ = 1267949760. Its totient is φ = 107993088.

The previous prime is 406264139. The next prime is 406264153. The reversal of 406264140 is 41462604.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 200412 + ... + 202428.

It is an arithmetic number, because the mean of its divisors is an integer number (13207810).

Almost surely, 2^406264140 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 406264140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (633974880).

406264140 is an abundant number, since it is smaller than the sum of its proper divisors (861685620).

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

406264140 is a wasteful number, since it uses less digits than its factorization.

406264140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2408 (or 2400 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 27.

The square root of 406264140 is about 20155.9951379236. The cubic root of 406264140 is about 740.6326097600.

The spelling of 406264140 in words is "four hundred six million, two hundred sixty-four thousand, one hundred forty".