418249020 has 192 divisors, whose sum is σ = 1445713920. Its totient is φ = 88230912.

The previous prime is 418248959. The next prime is 418249037. The reversal of 418249020 is 20942814.

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 63 ways as a sum of consecutive naturals, for example, 279394 + ... + 280886.

It is an arithmetic number, because the mean of its divisors is an integer number (7529760).

Almost surely, 2^418249020 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 418249020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (722856960).

418249020 is an abundant number, since it is smaller than the sum of its proper divisors (1027464900).

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

418249020 is a wasteful number, since it uses less digits than its factorization.

418249020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1564 (or 1562 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 30.

The square root of 418249020 is about 20451.1373766840. The cubic root of 418249020 is about 747.8450854990.

The spelling of 418249020 in words is "four hundred eighteen million, two hundred forty-nine thousand, twenty".