421973760 has 288 divisors, whose sum is σ = 1483453440. Its totient is φ = 101597184.

The previous prime is 421973759. The next prime is 421973777. The reversal of 421973760 is 67379124.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3943627 + ... + 3943733.

It is an arithmetic number, because the mean of its divisors is an integer number (5150880).

Almost surely, 2^421973760 is an apocalyptic number.

421973760 is a gapful number since it is divisible by the number (40) 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 421973760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (741726720).

421973760 is an abundant number, since it is smaller than the sum of its proper divisors (1061479680).

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

421973760 is a wasteful number, since it uses less digits than its factorization.

421973760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 223 (or 209 counting only the distinct ones).

The product of its (nonzero) digits is 63504, while the sum is 39.

The square root of 421973760 is about 20541.9999026385. Note that the first 4 decimals coincide. The cubic root of 421973760 is about 750.0585198782.

The spelling of 421973760 in words is "four hundred twenty-one million, nine hundred seventy-three thousand, seven hundred sixty".