420691400 has 48 divisors (see below), whose sum is σ = 1011849300. Its totient is φ = 162471680.

The previous prime is 420691357. The next prime is 420691409. The reversal of 420691400 is 4196024.

It can be written as a sum of positive squares in 6 ways, for example, as 229643716 + 191047684 = 15154^2 + 13822^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 420691400.

It is not an unprimeable number, because it can be changed into a prime (420691409) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 30467 + ... + 42066.

Almost surely, 2^420691400 is an apocalyptic number.

420691400 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

420691400 is an abundant number, since it is smaller than the sum of its proper divisors (591157900).

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

420691400 is a wasteful number, since it uses less digits than its factorization.

420691400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 72578 (or 72569 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 26.

The square root of 420691400 is about 20510.7630282250. The cubic root of 420691400 is about 749.2979504477.

The spelling of 420691400 in words is "four hundred twenty million, six hundred ninety-one thousand, four hundred".