196262400 has 240 divisors, whose sum is σ = 685000800. Its totient is φ = 49397760.

The previous prime is 196262387. The next prime is 196262453. The reversal of 196262400 is 4262691.

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 729466 + ... + 729734.

It is an arithmetic number, because the mean of its divisors is an integer number (2854170).

Almost surely, 2^196262400 is an apocalyptic number.

196262400 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 196262400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (342500400).

196262400 is an abundant number, since it is smaller than the sum of its proper divisors (488738400).

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

196262400 is a wasteful number, since it uses less digits than its factorization.

196262400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 319 (or 298 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 30.

The square root of 196262400 is about 14009.3682941095. The cubic root of 196262400 is about 581.1376797651.

The spelling of 196262400 in words is "one hundred ninety-six million, two hundred sixty-two thousand, four hundred".