414020320 has 48 divisors (see below), whose sum is σ = 1117857888. Its totient is φ = 141949440.

The previous prime is 414020293. The next prime is 414020333. The reversal of 414020320 is 23020414.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a junction number, because it is equal to n+sod(n) for n = 414020294 and 414020303.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 183711 + ... + 185950.

It is an arithmetic number, because the mean of its divisors is an integer number (23288706).

Almost surely, 2^414020320 is an apocalyptic number.

414020320 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

414020320 is an abundant number, since it is smaller than the sum of its proper divisors (703837568).

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

414020320 is a wasteful number, since it uses less digits than its factorization.

414020320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 369683 (or 369675 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 16.

The square root of 414020320 is about 20347.4892800070. The cubic root of 414020320 is about 745.3161848740.

Adding to 414020320 its reverse (23020414), we get a palindrome (437040734).

The spelling of 414020320 in words is "four hundred fourteen million, twenty thousand, three hundred twenty".