420116240 has 80 divisors (see below), whose sum is σ = 1044254592. Its totient is φ = 156628992.

The previous prime is 420116231. The next prime is 420116251. The reversal of 420116240 is 42611024.

It is a tau number, because it is divible by the number of its divisors (80).

It is a super-2 number, since 2×420116240² = 352995310223475200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (20).

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, 144077 + ... + 146963.

Almost surely, 2^420116240 is an apocalyptic number.

420116240 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 420116240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (522127296).

420116240 is an abundant number, since it is smaller than the sum of its proper divisors (624138352).

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

420116240 is a wasteful number, since it uses less digits than its factorization.

420116240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3024 (or 3018 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 20.

The square root of 420116240 is about 20496.7373013365. The cubic root of 420116240 is about 748.9563201688.

Adding to 420116240 its reverse (42611024), we get a palindrome (462727264).

The spelling of 420116240 in words is "four hundred twenty million, one hundred sixteen thousand, two hundred forty".