407042064 has 240 divisors, whose sum is σ = 1385328000. Its totient is φ = 113667840.

The previous prime is 407042047. The next prime is 407042107. The reversal of 407042064 is 460240704.

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

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 679237 + ... + 679835.

It is an arithmetic number, because the mean of its divisors is an integer number (5772200).

Almost surely, 2^407042064 is an apocalyptic number.

407042064 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 407042064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (692664000).

407042064 is an abundant number, since it is smaller than the sum of its proper divisors (978285936).

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

407042064 is a wasteful number, since it uses less digits than its factorization.

407042064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 651 (or 628 counting only the distinct ones).

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

The square root of 407042064 is about 20175.2834924320. The cubic root of 407042064 is about 741.1050351854.

Adding to 407042064 its reverse (460240704), we get a palindrome (867282768).

The spelling of 407042064 in words is "four hundred seven million, forty-two thousand, sixty-four".