407368890 has 96 divisors (see below), whose sum is σ = 1103746176. Its totient is φ = 104146560.

The previous prime is 407368889. The next prime is 407368891. The reversal of 407368890 is 98863704.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (407368889) and next prime (407368891).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (407368891) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 235569 + ... + 237291.

It is an arithmetic number, because the mean of its divisors is an integer number (11497356).

Almost surely, 2^407368890 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 407368890, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (551873088).

407368890 is an abundant number, since it is smaller than the sum of its proper divisors (696377286).

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

407368890 is a wasteful number, since it uses less digits than its factorization.

407368890 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1844 (or 1841 counting only the distinct ones).

The product of its (nonzero) digits is 290304, while the sum is 45.

The square root of 407368890 is about 20183.3815303581. The cubic root of 407368890 is about 741.3033337709.

The spelling of 407368890 in words is "four hundred seven million, three hundred sixty-eight thousand, eight hundred ninety".