407190420 has 144 divisors (see below), whose sum is σ = 1520238720. Its totient is φ = 85909248.

The previous prime is 407190419. The next prime is 407190449. The reversal of 407190420 is 24091704.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 3951 + ... + 28809.

Almost surely, 2^407190420 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 407190420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (760119360).

407190420 is an abundant number, since it is smaller than the sum of its proper divisors (1113048300).

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

407190420 is a wasteful number, since it uses less digits than its factorization.

407190420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24894 (or 24889 counting only the distinct ones).

The product of its (nonzero) digits is 2016, while the sum is 27.

The square root of 407190420 is about 20178.9598344414. The cubic root of 407190420 is about 741.1950619364.

The spelling of 407190420 in words is "four hundred seven million, one hundred ninety thousand, four hundred twenty".