420253920 has 192 divisors, whose sum is σ = 1490287680. Its totient is φ = 111974400.

The previous prime is 420253909. The next prime is 420253927. The reversal of 420253920 is 29352024.

It is a super-2 number, since 2×420253920² = 353226714550732800, which contains 22 as substring.

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 (420253927) 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, 349320 + ... + 350520.

It is an arithmetic number, because the mean of its divisors is an integer number (7761915).

Almost surely, 2^420253920 is an apocalyptic number.

420253920 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 420253920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (745143840).

420253920 is an abundant number, since it is smaller than the sum of its proper divisors (1070033760).

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

420253920 is an equidigital number, since it uses as much as digits as its factorization.

420253920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1237 (or 1211 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 27.

The square root of 420253920 is about 20500.0956095331. The cubic root of 420253920 is about 749.0381269276.

The spelling of 420253920 in words is "four hundred twenty million, two hundred fifty-three thousand, nine hundred twenty".