420396480 has 420 divisors, whose sum is σ = 1744830648. Its totient is φ = 95800320.

The previous prime is 420396469. The next prime is 420396491. The reversal of 420396480 is 84693024.

It is a happy number.

420396480 is a `hidden beast` number, since 4 + 2 + 0 + 3 + 9 + 648 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (420396469) and next prime (420396491).

It is a tau number, because it is divible by the number of its divisors (420).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 1269915 + ... + 1270245.

Almost surely, 2^420396480 is an apocalyptic number.

420396480 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 420396480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (872415324).

420396480 is an abundant number, since it is smaller than the sum of its proper divisors (1324434168).

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

420396480 is a wasteful number, since it uses less digits than its factorization.

420396480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 374 (or 348 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 36.

The square root of 420396480 is about 20503.5723716625. The cubic root of 420396480 is about 749.1228144607.

It can be divided in two parts, 420 and 396480, that added together give a square (396900 = 630²).

The spelling of 420396480 in words is "four hundred twenty million, three hundred ninety-six thousand, four hundred eighty".