420312516 has 48 divisors (see below), whose sum is σ = 1059105600. Its totient is φ = 128967552.

The previous prime is 420312491. The next prime is 420312517. The reversal of 420312516 is 615213024.

It is a super-2 number, since 2×420312516² = 353325222212500512, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (420312517) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 55570 + ... + 62678.

It is an arithmetic number, because the mean of its divisors is an integer number (22064700).

Almost surely, 2^420312516 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 420312516, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (529552800).

420312516 is an abundant number, since it is smaller than the sum of its proper divisors (638793084).

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

420312516 is a wasteful number, since it uses less digits than its factorization.

420312516 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7508 (or 7506 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 24.

The square root of 420312516 is about 20501.5247237858. The cubic root of 420312516 is about 749.0729381027.

The spelling of 420312516 in words is "four hundred twenty million, three hundred twelve thousand, five hundred sixteen".