540155952 has 240 divisors, whose sum is σ = 1819883520. Its totient is φ = 151911936.

The previous prime is 540155927. The next prime is 540155983. The reversal of 540155952 is 259551045.

540155952 is a `hidden beast` number, since 54 + 0 + 1 + 559 + 52 = 666.

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 an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2422113 + ... + 2422335.

It is an arithmetic number, because the mean of its divisors is an integer number (7582848).

Almost surely, 2^540155952 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 540155952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (909941760).

540155952 is an abundant number, since it is smaller than the sum of its proper divisors (1279727568).

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

540155952 is a wasteful number, since it uses less digits than its factorization.

540155952 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 342 (or 324 counting only the distinct ones).

The product of its (nonzero) digits is 45000, while the sum is 36.

The square root of 540155952 is about 23241.2553877797. The cubic root of 540155952 is about 814.4036698139.

The spelling of 540155952 in words is "five hundred forty million, one hundred fifty-five thousand, nine hundred fifty-two".