540474480 has 480 divisors, whose sum is σ = 2284603776. Its totient is φ = 111476736.

The previous prime is 540474469. The next prime is 540474481. The reversal of 540474480 is 84474045.

540474480 is a `hidden beast` number, since 540 + 4 + 74 + 48 + 0 = 666.

It is a super-2 number, since 2×540474480² = 584225327062540800, which contains 22 as substring.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (540474481) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 4782904 + ... + 4783016.

Almost surely, 2^540474480 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 540474480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1142301888).

540474480 is an abundant number, since it is smaller than the sum of its proper divisors (1744129296).

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

540474480 is a wasteful number, since it uses less digits than its factorization.

540474480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 225 (or 216 counting only the distinct ones).

The product of its (nonzero) digits is 71680, while the sum is 36.

The square root of 540474480 is about 23248.1070197124. The cubic root of 540474480 is about 814.5637219845.

The spelling of 540474480 in words is "five hundred forty million, four hundred seventy-four thousand, four hundred eighty".