420750720 has 256 divisors, whose sum is σ = 1605643200. Its totient is φ = 103514112.

The previous prime is 420750719. The next prime is 420750727. The reversal of 420750720 is 27057024.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (420750727) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 223704 + ... + 225576.

Almost surely, 2^420750720 is an apocalyptic number.

420750720 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 420750720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (802821600).

420750720 is an abundant number, since it is smaller than the sum of its proper divisors (1184892480).

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

420750720 is a wasteful number, since it uses less digits than its factorization.

420750720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1914 (or 1896 counting only the distinct ones).

The product of its (nonzero) digits is 3920, while the sum is 27.

The square root of 420750720 is about 20512.2090472967. The cubic root of 420750720 is about 749.3331672879. Note that the first 3 decimals are identical.

The spelling of 420750720 in words is "four hundred twenty million, seven hundred fifty thousand, seven hundred twenty".