420252040 has 32 divisors (see below), whose sum is σ = 1018304280. Its totient is φ = 155169792.

The previous prime is 420251987. The next prime is 420252059. The reversal of 420252040 is 40252024.

It can be written as a sum of positive squares in 4 ways, for example, as 141562404 + 278689636 = 11898^2 + 16694^2 .

It is a super-2 number, since 2×420252040² = 353223554248323200, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 420251999 and 420252017.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 403569 + ... + 404608.

Almost surely, 2^420252040 is an apocalyptic number.

420252040 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

420252040 is an abundant number, since it is smaller than the sum of its proper divisors (598052240).

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

420252040 is a wasteful number, since it uses less digits than its factorization.

420252040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 808201 (or 808197 counting only the distinct ones).

The product of its (nonzero) digits is 640, while the sum is 19.

The square root of 420252040 is about 20500.0497560372. The cubic root of 420252040 is about 749.0370099888.

The spelling of 420252040 in words is "four hundred twenty million, two hundred fifty-two thousand, forty".