420253200 has 180 divisors, whose sum is σ = 1473374448. Its totient is φ = 110918400.

The previous prime is 420253199. The next prime is 420253231. The reversal of 420253200 is 2352024.

It is a tau number, because it is divible by the number of its divisors (180).

It is a super-2 number, since 2×420253200² = 353225504220480000, which contains 22 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 384655 + ... + 385745.

Almost surely, 2^420253200 is an apocalyptic number.

420253200 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 420253200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (736687224).

420253200 is an abundant number, since it is smaller than the sum of its proper divisors (1053121248).

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

420253200 is a wasteful number, since it uses less digits than its factorization.

420253200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1222 (or 1208 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 18.

The square root of 420253200 is about 20500.0780486319. The cubic root of 420253200 is about 749.0376991642.

The spelling of 420253200 in words is "four hundred twenty million, two hundred fifty-three thousand, two hundred".