422672040 has 320 divisors, whose sum is σ = 1653710400. Its totient is φ = 96018048.

The previous prime is 422672039. The next prime is 422672057. The reversal of 422672040 is 40276224.

It is a happy number.

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

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

It is a junction number, because it is equal to n+sod(n) for n = 422671995 and 422672013.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 2592999 + ... + 2593161.

It is an arithmetic number, because the mean of its divisors is an integer number (5167845).

Almost surely, 2^422672040 is an apocalyptic number.

422672040 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 422672040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (826855200).

422672040 is an abundant number, since it is smaller than the sum of its proper divisors (1231038360).

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

422672040 is a wasteful number, since it uses less digits than its factorization.

422672040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 211 (or 180 counting only the distinct ones).

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

The square root of 422672040 is about 20558.9892747674. The cubic root of 422672040 is about 750.4720228636.

The spelling of 422672040 in words is "four hundred twenty-two million, six hundred seventy-two thousand, forty".