407198640 has 160 divisors (see below), whose sum is σ = 1314201600. Its totient is φ = 104186880.

The previous prime is 407198567. The next prime is 407198641. The reversal of 407198640 is 46891704.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (407198641) by changing a digit.

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, 1703641 + ... + 1703879.

It is an arithmetic number, because the mean of its divisors is an integer number (8213760).

Almost surely, 2^407198640 is an apocalyptic number.

407198640 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 407198640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (657100800).

407198640 is an abundant number, since it is smaller than the sum of its proper divisors (907002960).

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

407198640 is a wasteful number, since it uses less digits than its factorization.

407198640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 515 (or 509 counting only the distinct ones).

The product of its (nonzero) digits is 48384, while the sum is 39.

The square root of 407198640 is about 20179.1635109090. The cubic root of 407198640 is about 741.2000494329.

The spelling of 407198640 in words is "four hundred seven million, one hundred ninety-eight thousand, six hundred forty".