427622400 has 306 divisors, whose sum is σ = 1584648390. Its totient is φ = 110100480.

The previous prime is 427622399. The next prime is 427622407. The reversal of 427622400 is 4226724.

It is a happy number.

It can be written as a sum of positive squares in 3 ways, for example, as 28901376 + 398721024 = 5376^2 + 19968^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (427622407) 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, 14745586 + ... + 14745614.

Almost surely, 2^427622400 is an apocalyptic number.

427622400 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 427622400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (792324195).

427622400 is an abundant number, since it is smaller than the sum of its proper divisors (1157025990).

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

427622400 is an equidigital number, since it uses as much as digits as its factorization.

427622400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 77 (or 39 counting only the distinct ones).

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

The square root of 427622400 is about 20679.0328593965. The cubic root of 427622400 is about 753.3905161038.

The spelling of 427622400 in words is "four hundred twenty-seven million, six hundred twenty-two thousand, four hundred".