414195420 has 48 divisors (see below), whose sum is σ = 1174440960. Its totient is φ = 109052736.

The previous prime is 414195413. The next prime is 414195437. The reversal of 414195420 is 24591414.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 38952 + ... + 48431.

It is an arithmetic number, because the mean of its divisors is an integer number (24467520).

Almost surely, 2^414195420 is an apocalyptic number.

It is an amenable number.

414195420 is an abundant number, since it is smaller than the sum of its proper divisors (760245540).

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

414195420 is a wasteful number, since it uses less digits than its factorization.

414195420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 87474 (or 87472 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 30.

The square root of 414195420 is about 20351.7915673289. The cubic root of 414195420 is about 745.4212412879.

The spelling of 414195420 in words is "four hundred fourteen million, one hundred ninety-five thousand, four hundred twenty".