462879450 has 108 divisors (see below), whose sum is σ = 1367096094. Its totient is φ = 112200000.

The previous prime is 462879449. The next prime is 462879481. The reversal of 462879450 is 54978264.

It is a happy number.

It can be written as a sum of positive squares in 3 ways, for example, as 233447841 + 229431609 = 15279^2 + 15147^2 .

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a junction number, because it is equal to n+sod(n) for n = 462879396 and 462879405.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 53 ways as a sum of consecutive naturals, for example, 50200 + ... + 58700.

Almost surely, 2^462879450 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 462879450, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (683548047).

462879450 is an abundant number, since it is smaller than the sum of its proper divisors (904216644).

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

462879450 is a wasteful number, since it uses less digits than its factorization.

462879450 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8541 (or 8522 counting only the distinct ones).

The product of its (nonzero) digits is 483840, while the sum is 45.

The square root of 462879450 is about 21514.6333921822. The cubic root of 462879450 is about 773.5516201978.

The spelling of 462879450 in words is "four hundred sixty-two million, eight hundred seventy-nine thousand, four hundred fifty".