421198752 has 96 divisors (see below), whose sum is σ = 1194806592. Its totient is φ = 129153024.

The previous prime is 421198733. The next prime is 421198753. The reversal of 421198752 is 257891124.

It is a tau number, because it is divible by the number of its divisors (96).

It is a hoax number, since the sum of its digits (39) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a self number, because there is not a number n which added to its sum of digits gives 421198752.

It is not an unprimeable number, because it can be changed into a prime (421198753) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 682348 + ... + 682964.

It is an arithmetic number, because the mean of its divisors is an integer number (12445902).

Almost surely, 2^421198752 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 421198752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (597403296).

421198752 is an abundant number, since it is smaller than the sum of its proper divisors (773607840).

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

421198752 is a wasteful number, since it uses less digits than its factorization.

421198752 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1190 (or 1182 counting only the distinct ones).

The product of its digits is 40320, while the sum is 39.

The square root of 421198752 is about 20523.1272470840. The cubic root of 421198752 is about 749.5990461306.

Subtracting from 421198752 its reverse (257891124), we obtain a triangular number (163307628 = T₁₈₀₇₂).

The spelling of 421198752 in words is "four hundred twenty-one million, one hundred ninety-eight thousand, seven hundred fifty-two".