1742642460 has 288 divisors, whose sum is σ = 6122293632. Its totient is φ = 397393920.

The previous prime is 1742642441. The next prime is 1742642483. The reversal of 1742642460 is 642462471.

1742642460 is a `hidden beast` number, since 1 + 7 + 4 + 2 + 642 + 4 + 6 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

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 95 ways as a sum of consecutive naturals, for example, 2824072 + ... + 2824688.

It is an arithmetic number, because the mean of its divisors is an integer number (21257964).

Almost surely, 2^1742642460 is an apocalyptic number.

1742642460 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 1742642460, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3061146816).

1742642460 is an abundant number, since it is smaller than the sum of its proper divisors (4379651172).

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

1742642460 is a wasteful number, since it uses less digits than its factorization.

1742642460 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 733 (or 728 counting only the distinct ones).

The product of its (nonzero) digits is 64512, while the sum is 36.

The square root of 1742642460 is about 41744.9692777465. The cubic root of 1742642460 is about 1203.3799294594.

The spelling of 1742642460 in words is "one billion, seven hundred forty-two million, six hundred forty-two thousand, four hundred sixty".