426157200 has 300 divisors, whose sum is σ = 1748866240. Its totient is φ = 97355520.

The previous prime is 426157169. The next prime is 426157201. The reversal of 426157200 is 2751624.

426157200 is a `hidden beast` number, since 42 + 615 + 7 + 2 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (300).

It is a super-2 number, since 2×426157200² = 363219918223680000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (426157201) by changing a digit.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 225861 + ... + 227739.

Almost surely, 2^426157200 is an apocalyptic number.

426157200 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 426157200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (874433120).

426157200 is an abundant number, since it is smaller than the sum of its proper divisors (1322709040).

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

426157200 is a wasteful number, since it uses less digits than its factorization.

426157200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1916 (or 1896 counting only the distinct ones).

The product of its (nonzero) digits is 3360, while the sum is 27.

The square root of 426157200 is about 20643.5752717401. The cubic root of 426157200 is about 752.5290622065.

The spelling of 426157200 in words is "four hundred twenty-six million, one hundred fifty-seven thousand, two hundred".