1543400460 has 192 divisors, whose sum is σ = 5514700800. Its totient is φ = 351039744.

The previous prime is 1543400459. The next prime is 1543400477. The reversal of 1543400460 is 640043451.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 864729 + ... + 866511.

It is an arithmetic number, because the mean of its divisors is an integer number (28722400).

Almost surely, 2^1543400460 is an apocalyptic number.

1543400460 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 1543400460, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2757350400).

1543400460 is an abundant number, since it is smaller than the sum of its proper divisors (3971300340).

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

1543400460 is a wasteful number, since it uses less digits than its factorization.

1543400460 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2037 (or 2029 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 27.

The square root of 1543400460 is about 39286.1357224148. The cubic root of 1543400460 is about 1155.6496935074.

The spelling of 1543400460 in words is "one billion, five hundred forty-three million, four hundred thousand, four hundred sixty".