462068300 has 72 divisors (see below), whose sum is σ = 1023955296. Its totient is φ = 180956160.

The previous prime is 462068263. The next prime is 462068311. The reversal of 462068300 is 3860264.

It is a super-2 number, since 2×462068300² = 427014227729780000, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1163702 + ... + 1164098.

Almost surely, 2^462068300 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 462068300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (511977648).

462068300 is an abundant number, since it is smaller than the sum of its proper divisors (561886996).

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

462068300 is a wasteful number, since it uses less digits than its factorization.

462068300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 627 (or 620 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 29.

The square root of 462068300 is about 21495.7740032779. The cubic root of 462068300 is about 773.0994986804.

The spelling of 462068300 in words is "four hundred sixty-two million, sixty-eight thousand, three hundred".