480028861 has 32 divisors (see below), whose sum is σ = 551539296. Its totient is φ = 414720000.

The previous prime is 480028853. The next prime is 480028877. The reversal of 480028861 is 168820084.

It can be written as a sum of positive squares in 16 ways, for example, as 22325625 + 457703236 = 4725^2 + 21394^2 .

It is a 7-Lehmer number, since φ(480028861) divides (480028861-1)⁷.

It is a cyclic number.

It is not a de Polignac number, because 480028861 - 2³ = 480028853 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (37).

It is a deceptive number, since it divides R_480028860.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 480028861.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (480028841) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1991701 + ... + 1991941.

It is an arithmetic number, because the mean of its divisors is an integer number (17235603).

Almost surely, 2^480028861 is an apocalyptic number.

480028861 is a gapful number since it is divisible by the number (41) formed by its first and last digit.

It is an amenable number.

480028861 is a deficient number, since it is larger than the sum of its proper divisors (71510435).

480028861 is a wasteful number, since it uses less digits than its factorization.

480028861 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 433.

The product of its (nonzero) digits is 24576, while the sum is 37.

The square root of 480028861 is about 21909.5609495033. The cubic root of 480028861 is about 782.9892205575.

The spelling of 480028861 in words is "four hundred eighty million, twenty-eight thousand, eight hundred sixty-one".