540460440 has 192 divisors, whose sum is σ = 1974248640. Its totient is φ = 127226880.

The previous prime is 540460433. The next prime is 540460457. The reversal of 540460440 is 44064045.

540460440 is a `hidden beast` number, since 54 + 0 + 4 + 604 + 4 + 0 = 666.

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

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, 105130 + ... + 110150.

It is an arithmetic number, because the mean of its divisors is an integer number (10282545).

Almost surely, 2^540460440 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 540460440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (987124320).

540460440 is an abundant number, since it is smaller than the sum of its proper divisors (1433788200).

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

540460440 is a wasteful number, since it uses less digits than its factorization.

540460440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5074 (or 5067 counting only the distinct ones).

The product of its (nonzero) digits is 7680, while the sum is 27.

The square root of 540460440 is about 23247.8050576823. The cubic root of 540460440 is about 814.5566685687.

The spelling of 540460440 in words is "five hundred forty million, four hundred sixty thousand, four hundred forty".