418309920 has 576 divisors, whose sum is σ = 1783192320. Its totient is φ = 90574848.

The previous prime is 418309897. The next prime is 418309951. The reversal of 418309920 is 29903814.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 7892614 + ... + 7892666.

It is an arithmetic number, because the mean of its divisors is an integer number (3095820).

Almost surely, 2^418309920 is an apocalyptic number.

418309920 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 418309920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (891596160).

418309920 is an abundant number, since it is smaller than the sum of its proper divisors (1364882400).

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

418309920 is a wasteful number, since it uses less digits than its factorization.

418309920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 119 (or 99 counting only the distinct ones).

The product of its (nonzero) digits is 15552, while the sum is 36.

The square root of 418309920 is about 20452.6262372342. The cubic root of 418309920 is about 747.8813809061.

The spelling of 418309920 in words is "four hundred eighteen million, three hundred nine thousand, nine hundred twenty".