406241640 has 384 divisors, whose sum is σ = 1621002240. Its totient is φ = 86220288.

The previous prime is 406241629. The next prime is 406241659. The reversal of 406241640 is 46142604.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 2492199 + ... + 2492361.

It is an arithmetic number, because the mean of its divisors is an integer number (4221360).

Almost surely, 2^406241640 is an apocalyptic number.

406241640 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 406241640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (810501120).

406241640 is an abundant number, since it is smaller than the sum of its proper divisors (1214760600).

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

406241640 is a wasteful number, since it uses less digits than its factorization.

406241640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 253 (or 246 counting only the distinct ones).

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

The square root of 406241640 is about 20155.4369836032. The cubic root of 406241640 is about 740.6189367660.

The spelling of 406241640 in words is "four hundred six million, two hundred forty-one thousand, six hundred forty".