420761440 has 48 divisors (see below), whose sum is σ = 1084421520. Its totient is φ = 153003520.

The previous prime is 420761417. The next prime is 420761449. The reversal of 420761440 is 44167024.

It is a junction number, because it is equal to n+sod(n) for n = 420761399 and 420761408.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (420761449) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 117775 + ... + 121294.

It is an arithmetic number, because the mean of its divisors is an integer number (22592115).

Almost surely, 2^420761440 is an apocalyptic number.

420761440 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

420761440 is an abundant number, since it is smaller than the sum of its proper divisors (663660080).

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

420761440 is a wasteful number, since it uses less digits than its factorization.

420761440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 239095 (or 239087 counting only the distinct ones).

The product of its (nonzero) digits is 5376, while the sum is 28.

The square root of 420761440 is about 20512.4703534216. The cubic root of 420761440 is about 749.3395311378.

It can be divided in two parts, 420761 and 440, that added together give a square (421201 = 649²).

The spelling of 420761440 in words is "four hundred twenty million, seven hundred sixty-one thousand, four hundred forty".