426891600 has 360 divisors, whose sum is σ = 1607099520. Its totient is φ = 107573760.

The previous prime is 426891583. The next prime is 426891617. The reversal of 426891600 is 6198624.

426891600 is a `hidden beast` number, since 42 + 6 + 8 + 9 + 1 + 600 = 666.

It is an interprime number because it is at equal distance from previous prime (426891583) and next prime (426891617).

It is a tau number, because it is divible by the number of its divisors (360).

It is a super-3 number, since 3×426891600³ (a number of 27 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 9082777 + ... + 9082823.

Almost surely, 2^426891600 is an apocalyptic number.

426891600 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 426891600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (803549760).

426891600 is an abundant number, since it is smaller than the sum of its proper divisors (1180207920).

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

426891600 is a wasteful number, since it uses less digits than its factorization.

426891600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 132 (or 86 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 36.

The square root of 426891600 is about 20661.3552314460. The cubic root of 426891600 is about 752.9610938454.

The spelling of 426891600 in words is "four hundred twenty-six million, eight hundred ninety-one thousand, six hundred".