421872192 has 112 divisors (see below), whose sum is σ = 1417441920. Its totient is φ = 120531456.

The previous prime is 421872169. The next prime is 421872223. The reversal of 421872192 is 291278124.

It is a tau number, because it is divible by the number of its divisors (112).

It is a super-2 number, since 2×421872192² = 355952292765769728, which contains 22 as substring.

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

It is a nude number because it is divisible by every one of its digits.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5343 + ... + 29534.

Almost surely, 2^421872192 is an apocalyptic number.

421872192 is a gapful number since it is divisible by the number (42) 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 421872192, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (708720960).

421872192 is an abundant number, since it is smaller than the sum of its proper divisors (995569728).

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

421872192 is a wasteful number, since it uses less digits than its factorization.

421872192 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 34905 (or 34889 counting only the distinct ones).

The product of its digits is 16128, while the sum is 36.

The square root of 421872192 is about 20539.5275505548. The cubic root of 421872192 is about 749.9983359963.

The spelling of 421872192 in words is "four hundred twenty-one million, eight hundred seventy-two thousand, one hundred ninety-two".