407238464 has 42 divisors (see below), whose sum is σ = 819379362. Its totient is φ = 200800000.

The previous prime is 407238449. The next prime is 407238467. The reversal of 407238464 is 464832704.

It can be written as a sum of positive squares in only one way, i.e., 403206400 + 4032064 = 20080^2 + 2008^2 .

It is a super-2 number, since 2×407238464² = 331686333122158592, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (407238467) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 1622339 + ... + 1622589.

Almost surely, 2^407238464 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 407238464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (409689681).

407238464 is an abundant number, since it is smaller than the sum of its proper divisors (412140898).

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

407238464 is an equidigital number, since it uses as much as digits as its factorization.

407238464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 615 (or 354 counting only the distinct ones).

The product of its (nonzero) digits is 129024, while the sum is 38.

The square root of 407238464 is about 20180.1502472107. The cubic root of 407238464 is about 741.2242117505.

The spelling of 407238464 in words is "four hundred seven million, two hundred thirty-eight thousand, four hundred sixty-four".