413400064 has 176 divisors, whose sum is σ = 1061164800. Its totient is φ = 159559680.

The previous prime is 413400059. The next prime is 413400077. The reversal of 413400064 is 460004314.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (176).

It is a super-2 number, since 2×413400064² = 341799225830408192, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3863499 + ... + 3863605.

Almost surely, 2^413400064 is an apocalyptic number.

413400064 is a gapful number since it is divisible by the number (44) 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 413400064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (530582400).

413400064 is an abundant number, since it is smaller than the sum of its proper divisors (647764736).

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

413400064 is a wasteful number, since it uses less digits than its factorization.

413400064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 159 (or 127 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 22.

The square root of 413400064 is about 20332.2419816409. The cubic root of 413400064 is about 744.9438054997.

Adding to 413400064 its reverse (460004314), we get a palindrome (873404378).

The spelling of 413400064 in words is "four hundred thirteen million, four hundred thousand, sixty-four".