427226400 has 360 divisors, whose sum is σ = 1644738480. Its totient is φ = 107619840.

The previous prime is 427226377. The next prime is 427226461. The reversal of 427226400 is 4622724.

It is a happy number.

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

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

It is an unprimeable number.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 1231027 + ... + 1231373.

It is an arithmetic number, because the mean of its divisors is an integer number (4568718).

Almost surely, 2^427226400 is an apocalyptic number.

427226400 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 427226400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (822369240).

427226400 is an abundant number, since it is smaller than the sum of its proper divisors (1217512080).

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

427226400 is a wasteful number, since it uses less digits than its factorization.

427226400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 398 (or 376 counting only the distinct ones).

The product of its (nonzero) digits is 5376, while the sum is 27.

The square root of 427226400 is about 20669.4557257805. The cubic root of 427226400 is about 753.1578850215.

The spelling of 427226400 in words is "four hundred twenty-seven million, two hundred twenty-six thousand, four hundred".