42953460 has 96 divisors (see below), whose sum is σ = 132378624. Its totient is φ = 10320000.

The previous prime is 42953453. The next prime is 42953461. The reversal of 42953460 is 6435924.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42953461) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 99445 + ... + 99875.

It is an arithmetic number, because the mean of its divisors is an integer number (1378944).

Almost surely, 2^42953460 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 42953460, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (66189312).

42953460 is an abundant number, since it is smaller than the sum of its proper divisors (89425164).

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

42953460 is a wasteful number, since it uses less digits than its factorization.

42953460 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 605 (or 603 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 33.

The square root of 42953460 is about 6553.8889218540. Note that the first 3 decimals coincide. The cubic root of 42953460 is about 350.2133665000.

The spelling of 42953460 in words is "forty-two million, nine hundred fifty-three thousand, four hundred sixty".