540177480 has 192 divisors, whose sum is σ = 1834560000. Its totient is φ = 137687040.

The previous prime is 540177433. The next prime is 540177493. The reversal of 540177480 is 84771045.

540177480 is a `hidden beast` number, since 5 + 4 + 0 + 177 + 480 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1082271 + ... + 1082769.

It is an arithmetic number, because the mean of its divisors is an integer number (9555000).

Almost surely, 2^540177480 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 540177480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (917280000).

540177480 is an abundant number, since it is smaller than the sum of its proper divisors (1294382520).

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

540177480 is a wasteful number, since it uses less digits than its factorization.

540177480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 644 (or 637 counting only the distinct ones).

The product of its (nonzero) digits is 31360, while the sum is 36.

The square root of 540177480 is about 23241.7185251005. The cubic root of 540177480 is about 814.4144890654.

The spelling of 540177480 in words is "five hundred forty million, one hundred seventy-seven thousand, four hundred eighty".