422761248 has 384 divisors, whose sum is σ = 1603123200. Its totient is φ = 105255936.

The previous prime is 422761237. The next prime is 422761249. The reversal of 422761248 is 842167224.

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

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (422761249) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1493715 + ... + 1493997.

It is an arithmetic number, because the mean of its divisors is an integer number (4174800).

Almost surely, 2^422761248 is an apocalyptic number.

422761248 is a gapful number since it is divisible by the number (48) 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 422761248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (801561600).

422761248 is an abundant number, since it is smaller than the sum of its proper divisors (1180361952).

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

422761248 is a wasteful number, since it uses less digits than its factorization.

422761248 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 341 (or 327 counting only the distinct ones).

The product of its digits is 43008, while the sum is 36.

The square root of 422761248 is about 20561.1587222121. The cubic root of 422761248 is about 750.5248166710.

The spelling of 422761248 in words is "four hundred twenty-two million, seven hundred sixty-one thousand, two hundred forty-eight".