1540478268 has 216 divisors, whose sum is σ = 4842085248. Its totient is φ = 410743872.

The previous prime is 1540478237. The next prime is 1540478287. The reversal of 1540478268 is 8628740451.

1540478268 is a `hidden beast` number, since 1 + 540 + 47 + 8 + 2 + 68 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 1744155 + ... + 1745037.

Almost surely, 2^1540478268 is an apocalyptic number.

1540478268 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1540478268, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2421042624).

1540478268 is an abundant number, since it is smaller than the sum of its proper divisors (3301606980).

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

1540478268 is a wasteful number, since it uses less digits than its factorization.

1540478268 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 973 (or 961 counting only the distinct ones).

The product of its (nonzero) digits is 430080, while the sum is 45.

The square root of 1540478268 is about 39248.9269662242. The cubic root of 1540478268 is about 1154.9198842501.

The spelling of 1540478268 in words is "one billion, five hundred forty million, four hundred seventy-eight thousand, two hundred sixty-eight".