462625280 has 80 divisors (see below), whose sum is σ = 1194626664. Its totient is φ = 170803200.

The previous prime is 462625259. The next prime is 462625283. The reversal of 462625280 is 82526264.

It can be written as a sum of positive squares in 4 ways, for example, as 360696064 + 101929216 = 18992^2 + 10096^2 .

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

It is a self number, because there is not a number n which added to its sum of digits gives 462625280.

It is not an unprimeable number, because it can be changed into a prime (462625283) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 26330 + ... + 40230.

Almost surely, 2^462625280 is an apocalyptic number.

462625280 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 462625280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (597313332).

462625280 is an abundant number, since it is smaller than the sum of its proper divisors (732001384).

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

462625280 is a wasteful number, since it uses less digits than its factorization.

462625280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13937 (or 13921 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 35.

The square root of 462625280 is about 21508.7256712247. The cubic root of 462625280 is about 773.4100069308.

The spelling of 462625280 in words is "four hundred sixty-two million, six hundred twenty-five thousand, two hundred eighty".