426749200 has 90 divisors (see below), whose sum is σ = 1051481994. Its totient is φ = 166440960.

The previous prime is 426749189. The next prime is 426749201. The reversal of 426749200 is 2947624.

It can be written as a sum of positive squares in 3 ways, for example, as 136796416 + 289952784 = 11696^2 + 17028^2 .

It is a super-2 number, since 2×426749200² = 364229759401280000, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (426749201) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 739312 + ... + 739888.

Almost surely, 2^426749200 is an apocalyptic number.

426749200 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 426749200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (525740997).

426749200 is an abundant number, since it is smaller than the sum of its proper divisors (624732794).

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

426749200 is a wasteful number, since it uses less digits than its factorization.

426749200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 681 (or 627 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 34.

The square root of 426749200 is about 20657.9088970786. The cubic root of 426749200 is about 752.8773617504.

The spelling of 426749200 in words is "four hundred twenty-six million, seven hundred forty-nine thousand, two hundred".