406345740 has 96 divisors (see below), whose sum is σ = 1164977856. Its totient is φ = 105799680.

The previous prime is 406345739. The next prime is 406345757. The reversal of 406345740 is 47543604.

It is a happy number.

It is a super-2 number, since 2×406345740² = 330233720832295200, which contains 22 as substring.

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, 494530 + ... + 495350.

It is an arithmetic number, because the mean of its divisors is an integer number (12135186).

Almost surely, 2^406345740 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 406345740, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (582488928).

406345740 is an abundant number, since it is smaller than the sum of its proper divisors (758632116).

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

406345740 is a wasteful number, since it uses less digits than its factorization.

406345740 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1019 (or 1017 counting only the distinct ones).

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

The square root of 406345740 is about 20158.0192479321. The cubic root of 406345740 is about 740.6821929164.

The spelling of 406345740 in words is "four hundred six million, three hundred forty-five thousand, seven hundred forty".