420076440 has 192 divisors, whose sum is σ = 1578657600. Its totient is φ = 94887936.

The previous prime is 420076379. The next prime is 420076441. The reversal of 420076440 is 44670024.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (420076441) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 223344 + ... + 225216.

It is an arithmetic number, because the mean of its divisors is an integer number (8222175).

Almost surely, 2^420076440 is an apocalyptic number.

420076440 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 420076440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (789328800).

420076440 is an abundant number, since it is smaller than the sum of its proper divisors (1158581160).

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

420076440 is a wasteful number, since it uses less digits than its factorization.

420076440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1986 (or 1979 counting only the distinct ones).

The product of its (nonzero) digits is 5376, while the sum is 27.

The square root of 420076440 is about 20495.7663921113. The cubic root of 420076440 is about 748.9326684584.

The spelling of 420076440 in words is "four hundred twenty million, seventy-six thousand, four hundred forty".