953868419 has 48 divisors (see below), whose sum is σ = 1258329600. Its totient is φ = 703883520.

The previous prime is 953868389. The next prime is 953868437. The reversal of 953868419 is 914868359.

It is not a de Polignac number, because 953868419 - 2¹² = 953864323 is a prime.

It is a super-2 number, since 2×953868419² = 1819729921531119122, which contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (953868449) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2172602 + ... + 2173040.

It is an arithmetic number, because the mean of its divisors is an integer number (26215200).

Almost surely, 2^953868419 is an apocalyptic number.

953868419 is a deficient number, since it is larger than the sum of its proper divisors (304461181).

953868419 is a wasteful number, since it uses less digits than its factorization.

953868419 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 544 (or 513 counting only the distinct ones).

The product of its digits is 1866240, while the sum is 53.

The square root of 953868419 is about 30884.7603034247. The cubic root of 953868419 is about 984.3800952305.

The spelling of 953868419 in words is "nine hundred fifty-three million, eight hundred sixty-eight thousand, four hundred nineteen".