540283392 has 480 divisors, whose sum is σ = 1959249600. Its totient is φ = 145981440.

The previous prime is 540283391. The next prime is 540283399. The reversal of 540283392 is 293382045.

540283392 is a `hidden beast` number, since 540 + 2 + 83 + 39 + 2 = 666.

It is a super-2 number, since 2×540283392² = 583812287342051328, which contains 22 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (540283391) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 28435959 + ... + 28435977.

It is an arithmetic number, because the mean of its divisors is an integer number (4081770).

Almost surely, 2^540283392 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 540283392, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (979624800).

540283392 is an abundant number, since it is smaller than the sum of its proper divisors (1418966208).

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

540283392 is a wasteful number, since it uses less digits than its factorization.

540283392 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 85 (or 52 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 36.

The square root of 540283392 is about 23243.9969024262. The cubic root of 540283392 is about 814.4677127025.

The spelling of 540283392 in words is "five hundred forty million, two hundred eighty-three thousand, three hundred ninety-two".