420287200 has 36 divisors (see below), whose sum is σ = 1026028080. Its totient is φ = 168114560.

The previous prime is 420287177. The next prime is 420287213. The reversal of 420287200 is 2782024.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 261880 + ... + 263479.

It is an arithmetic number, because the mean of its divisors is an integer number (28500780).

Almost surely, 2^420287200 is an apocalyptic number.

420287200 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

420287200 is an abundant number, since it is smaller than the sum of its proper divisors (605740880).

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

420287200 is a wasteful number, since it uses less digits than its factorization.

420287200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 525379 (or 525366 counting only the distinct ones).

The product of its (nonzero) digits is 1792, while the sum is 25.

The square root of 420287200 is about 20500.9072969954. The cubic root of 420287200 is about 749.0578985702.

The spelling of 420287200 in words is "four hundred twenty million, two hundred eighty-seven thousand, two hundred".