403221420 has 144 divisors (see below), whose sum is σ = 1471491840. Its totient is φ = 87308928.

The previous prime is 403221409. The next prime is 403221431. The reversal of 403221420 is 24122304.

403221420 is a `hidden beast` number, since 403 + 221 + 42 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (403221409) and next prime (403221431).

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

It is a junction number, because it is equal to n+sod(n) for n = 403221393 and 403221402.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 15519 + ... + 32361.

Almost surely, 2^403221420 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 403221420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (735745920).

403221420 is an abundant number, since it is smaller than the sum of its proper divisors (1068270420).

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

403221420 is a wasteful number, since it uses less digits than its factorization.

403221420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16884 (or 16879 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 18.

The square root of 403221420 is about 20080.3740005011. The cubic root of 403221420 is about 738.7789822603.

Adding to 403221420 its reverse (24122304), we get a palindrome (427343724).

It can be divided in two parts, 4032 and 21420, that added together give a palindrome (25452).

The spelling of 403221420 in words is "four hundred three million, two hundred twenty-one thousand, four hundred twenty".