418524480 has 252 divisors, whose sum is σ = 1583632596. Its totient is φ = 101376000.

The previous prime is 418524439. The next prime is 418524493. The reversal of 418524480 is 84425814.

It can be written as a sum of positive squares in 2 ways, for example, as 47114496 + 371409984 = 6864^2 + 19272^2 .

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 347880 + ... + 349080.

Almost surely, 2^418524480 is an apocalyptic number.

418524480 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 418524480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (791816298).

418524480 is an abundant number, since it is smaller than the sum of its proper divisors (1165108116).

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

418524480 is a wasteful number, since it uses less digits than its factorization.

418524480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1246 (or 1222 counting only the distinct ones).

The product of its (nonzero) digits is 40960, while the sum is 36.

The square root of 418524480 is about 20457.8708569587. The cubic root of 418524480 is about 748.0092271065.

The spelling of 418524480 in words is "four hundred eighteen million, five hundred twenty-four thousand, four hundred eighty".