426974400 has 252 divisors, whose sum is σ = 1535430000. Its totient is φ = 112527360.

The previous prime is 426974389. The next prime is 426974407. The reversal of 426974400 is 4479624.

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

It is not an unprimeable number, because it can be changed into a prime (426974407) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 2145501 + ... + 2145699.

Almost surely, 2^426974400 is an apocalyptic number.

426974400 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 426974400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (767715000).

426974400 is an abundant number, since it is smaller than the sum of its proper divisors (1108455600).

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

426974400 is a wasteful number, since it uses less digits than its factorization.

426974400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 376 (or 358 counting only the distinct ones).

The product of its (nonzero) digits is 48384, while the sum is 36.

The square root of 426974400 is about 20663.3588750716. The cubic root of 426974400 is about 753.0097722048.

The spelling of 426974400 in words is "four hundred twenty-six million, nine hundred seventy-four thousand, four hundred".