406354740 has 96 divisors (see below), whose sum is σ = 1314278784. Its totient is φ = 92712960.

The previous prime is 406354703. The next prime is 406354759. The reversal of 406354740 is 47453604.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 6889 + ... + 29328.

It is an arithmetic number, because the mean of its divisors is an integer number (13690404).

Almost surely, 2^406354740 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 406354740, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (657139392).

406354740 is an abundant number, since it is smaller than the sum of its proper divisors (907924044).

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

406354740 is a wasteful number, since it uses less digits than its factorization.

406354740 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 36257 (or 36255 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 33.

The square root of 406354740 is about 20158.2424829150. The cubic root of 406354740 is about 740.6876612404.

The spelling of 406354740 in words is "four hundred six million, three hundred fifty-four thousand, seven hundred forty".