421740000 has 480 divisors, whose sum is σ = 1700455680. Its totient is φ = 100800000.

The previous prime is 421739993. The next prime is 421740013. The reversal of 421740000 is 47124.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (480).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 5939965 + ... + 5940035.

It is an arithmetic number, because the mean of its divisors is an integer number (3542616).

Almost surely, 2^421740000 is an apocalyptic number.

421740000 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 421740000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (850227840).

421740000 is an abundant number, since it is smaller than the sum of its proper divisors (1278715680).

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

421740000 is a wasteful number, since it uses less digits than its factorization.

421740000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 121 (or 92 counting only the distinct ones).

The product of its (nonzero) digits is 224, while the sum is 18.

The square root of 421740000 is about 20536.3093081498. The cubic root of 421740000 is about 749.9199914651.

Adding to 421740000 its reverse (47124), we get a palindrome (421787124).

The spelling of 421740000 in words is "four hundred twenty-one million, seven hundred forty thousand".