407608303680 has 1120 divisors, whose sum is σ = 1646783778816. Its totient is φ = 95121506304.

The previous prime is 407608303673. The next prime is 407608303681. The reversal of 407608303680 is 86303806704.

407608303680 is a `hidden beast` number, since 4 + 0 + 7 + 608 + 3 + 0 + 36 + 8 + 0 = 666.

It is a super-2 number, since 2×407608303680² (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (407608303681) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 374984097 + ... + 374985183.

Almost surely, 2^407608303680 is an apocalyptic number.

407608303680 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 407608303680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (823391889408).

407608303680 is an abundant number, since it is smaller than the sum of its proper divisors (1239175475136).

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

407608303680 is a wasteful number, since it uses less digits than its factorization.

407608303680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1193 (or 1174 counting only the distinct ones).

The product of its (nonzero) digits is 580608, while the sum is 45.

The spelling of 407608303680 in words is "four hundred seven billion, six hundred eight million, three hundred three thousand, six hundred eighty".