288534420 has 48 divisors (see below), whose sum is σ = 897664320. Its totient is φ = 76942368.

The previous prime is 288534413. The next prime is 288534431. The reversal of 288534420 is 24435882.

288534420 is a `hidden beast` number, since 2 + 88 + 534 + 42 + 0 = 666.

It is a super-2 number, since 2×288534420² = 166504223049472800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 266622 + ... + 267701.

It is an arithmetic number, because the mean of its divisors is an integer number (18701340).

Almost surely, 2^288534420 is an apocalyptic number.

288534420 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

288534420 is an abundant number, since it is smaller than the sum of its proper divisors (609129900).

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

288534420 is a wasteful number, since it uses less digits than its factorization.

288534420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 534341 (or 534333 counting only the distinct ones).

The product of its (nonzero) digits is 61440, while the sum is 36.

The square root of 288534420 is about 16986.3009510605. The cubic root of 288534420 is about 660.7936732964.

The spelling of 288534420 in words is "two hundred eighty-eight million, five hundred thirty-four thousand, four hundred twenty".