407445120 has 512 divisors, whose sum is σ = 1630368000. Its totient is φ = 95551488.

The previous prime is 407445113. The next prime is 407445127. The reversal of 407445120 is 21544704.

It is an interprime number because it is at equal distance from previous prime (407445113) and next prime (407445127).

It is a super-3 number, since 3×407445120³ (a number of 27 digits) contains 333 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (407445127) 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, 5581404 + ... + 5581476.

Almost surely, 2^407445120 is an apocalyptic number.

407445120 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 407445120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (815184000).

407445120 is an abundant number, since it is smaller than the sum of its proper divisors (1222922880).

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

407445120 is a wasteful number, since it uses less digits than its factorization.

407445120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 137 (or 119 counting only the distinct ones).

The product of its (nonzero) digits is 4480, while the sum is 27.

The square root of 407445120 is about 20185.2698768186. The cubic root of 407445120 is about 741.3495703475.

Adding to 407445120 its reverse (21544704), we get a palindrome (428989824).

It can be divided in two parts, 4074 and 45120, that added together give a palindrome (49194).

The spelling of 407445120 in words is "four hundred seven million, four hundred forty-five thousand, one hundred twenty".