1540459998 has 512 divisors, whose sum is σ = 5042995200. Its totient is φ = 335923200.

The previous prime is 1540459939. The next prime is 1540460021. The reversal of 1540459998 is 8999540451.

1540459998 is a `hidden beast` number, since 1 + 5 + 40 + 4 + 599 + 9 + 8 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 41634036 + ... + 41634072.

It is an arithmetic number, because the mean of its divisors is an integer number (9849600).

Almost surely, 2^1540459998 is an apocalyptic number.

1540459998 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 1540459998, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2521497600).

1540459998 is an abundant number, since it is smaller than the sum of its proper divisors (3502535202).

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

1540459998 is a wasteful number, since it uses less digits than its factorization.

1540459998 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 133 (or 127 counting only the distinct ones).

The product of its (nonzero) digits is 2332800, while the sum is 54.

The square root of 1540459998 is about 39248.6942203177. The cubic root of 1540459998 is about 1154.9153184669.

The spelling of 1540459998 in words is "one billion, five hundred forty million, four hundred fifty-nine thousand, nine hundred ninety-eight".