418487040 has 144 divisors (see below), whose sum is σ = 1485170400. Its totient is φ = 111587328.

The previous prime is 418487033. The next prime is 418487063. The reversal of 418487040 is 40784814.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (144).

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

It is a junction number, because it is equal to n+sod(n) for n = 418486986 and 418487004.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 28506 + ... + 40614.

Almost surely, 2^418487040 is an apocalyptic number.

418487040 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 418487040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (742585200).

418487040 is an abundant number, since it is smaller than the sum of its proper divisors (1066683360).

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

418487040 is a wasteful number, since it uses less digits than its factorization.

418487040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12139 (or 12119 counting only the distinct ones).

The product of its (nonzero) digits is 28672, while the sum is 36.

The square root of 418487040 is about 20456.9557852580. The cubic root of 418487040 is about 747.9869215211.

The spelling of 418487040 in words is "four hundred eighteen million, four hundred eighty-seven thousand, forty".