422072640 has 224 divisors, whose sum is σ = 1624705920. Its totient is φ = 102297600.

The previous prime is 422072639. The next prime is 422072647. The reversal of 422072640 is 46270224.

It is a happy number.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (422072647) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 92820 + ... + 97260.

Almost surely, 2^422072640 is an apocalyptic number.

422072640 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 422072640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (812352960).

422072640 is an abundant number, since it is smaller than the sum of its proper divisors (1202633280).

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

422072640 is a wasteful number, since it uses less digits than its factorization.

422072640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4478 (or 4462 counting only the distinct ones).

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

The square root of 422072640 is about 20544.4065380337. The cubic root of 422072640 is about 750.1171017153.

The spelling of 422072640 in words is "four hundred twenty-two million, seventy-two thousand, six hundred forty".