418437252 has 168 divisors, whose sum is σ = 1216325376. Its totient is φ = 125224704.

The previous prime is 418437223. The next prime is 418437281. The reversal of 418437252 is 252734814.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (418437223) and next prime (418437281).

It is a super-2 number, since 2×418437252² = 350179467722623008, which contains 22 as substring.

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 55 ways as a sum of consecutive naturals, for example, 1139973 + ... + 1140339.

It is an arithmetic number, because the mean of its divisors is an integer number (7240032).

Almost surely, 2^418437252 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 418437252, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (608162688).

418437252 is an abundant number, since it is smaller than the sum of its proper divisors (797888124).

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

418437252 is a wasteful number, since it uses less digits than its factorization.

418437252 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 429 (or 412 counting only the distinct ones).

The product of its digits is 53760, while the sum is 36.

The square root of 418437252 is about 20455.7388524590. The cubic root of 418437252 is about 747.9572573210.

The spelling of 418437252 in words is "four hundred eighteen million, four hundred thirty-seven thousand, two hundred fifty-two".