407226120 has 256 divisors, whose sum is σ = 1470528000. Its totient is φ = 88252416.

The previous prime is 407226103. The next prime is 407226121. The reversal of 407226120 is 21622704.

It is a super-2 number, since 2×407226120² = 331666225620508800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is not an unprimeable number, because it can be changed into a prime (407226121) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1778166 + ... + 1778394.

It is an arithmetic number, because the mean of its divisors is an integer number (5744250).

Almost surely, 2^407226120 is an apocalyptic number.

407226120 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 407226120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (735264000).

407226120 is an abundant number, since it is smaller than the sum of its proper divisors (1063301880).

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

407226120 is a wasteful number, since it uses less digits than its factorization.

407226120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 352 (or 348 counting only the distinct ones).

The product of its (nonzero) digits is 1344, while the sum is 24.

The square root of 407226120 is about 20179.8443997965. The cubic root of 407226120 is about 741.2167224742.

Adding to 407226120 its reverse (21622704), we get a palindrome (428848824).

The spelling of 407226120 in words is "four hundred seven million, two hundred twenty-six thousand, one hundred twenty".