540053964 has 18 divisors (see below), whose sum is σ = 1365136500. Its totient is φ = 180017976.

The previous prime is 540053959. The next prime is 540053971. The reversal of 540053964 is 469350045.

It is a happy number.

540053964 is a `hidden beast` number, since 540 + 0 + 53 + 9 + 64 = 666.

It is a tau number, because it is divible by the number of its divisors (18).

It is a super-2 number, since 2×540053964² = 583316568064226592, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36), and also a Moran number because the ratio is a prime number: 15001499 = 540053964 / (5 + 4 + 0 + 0 + 5 + 3 + 9 + 6 + 4).

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 7500714 + ... + 7500785.

Almost surely, 2^540053964 is an apocalyptic number.

It is an amenable number.

540053964 is an abundant number, since it is smaller than the sum of its proper divisors (825082536).

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

540053964 is a wasteful number, since it uses less digits than its factorization.

540053964 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15001509 (or 15001504 counting only the distinct ones).

The product of its (nonzero) digits is 64800, while the sum is 36.

The square root of 540053964 is about 23239.0611686445. The cubic root of 540053964 is about 814.3524101550.

The spelling of 540053964 in words is "five hundred forty million, fifty-three thousand, nine hundred sixty-four".