1542959460 has 144 divisors (see below), whose sum is σ = 5367188736. Its totient is φ = 351472896.

The previous prime is 1542959417. The next prime is 1542959461. The reversal of 1542959460 is 649592451.

1542959460 is a `hidden beast` number, since 1 + 54 + 2 + 9 + 594 + 6 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (1542959461) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 397489 + ... + 401351.

It is an arithmetic number, because the mean of its divisors is an integer number (37272144).

Almost surely, 2^1542959460 is an apocalyptic number.

1542959460 is a gapful number since it is divisible by the number (10) 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 1542959460, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2683594368).

1542959460 is an abundant number, since it is smaller than the sum of its proper divisors (3824229276).

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

1542959460 is a wasteful number, since it uses less digits than its factorization.

1542959460 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4202 (or 4197 counting only the distinct ones).

The product of its (nonzero) digits is 388800, while the sum is 45.

The square root of 1542959460 is about 39280.5226543640. The cubic root of 1542959460 is about 1155.5396140484.

The spelling of 1542959460 in words is "one billion, five hundred forty-two million, nine hundred fifty-nine thousand, four hundred sixty".