407478670146 has 80 divisors (see below), whose sum is σ = 972695253024. Its totient is φ = 127052032896.

The previous prime is 407478670141. The next prime is 407478670169. The reversal of 407478670146 is 641076874704.

It is a super-2 number, since 2×407478670146² (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 407478670092 and 407478670101.

It is not an unprimeable number, because it can be changed into a prime (407478670141) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 4960 + ... + 902763.

Almost surely, 2^407478670146 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 407478670146, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (486347626512).

407478670146 is an abundant number, since it is smaller than the sum of its proper divisors (565216582878).

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

407478670146 is a wasteful number, since it uses less digits than its factorization.

407478670146 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 907917 (or 907908 counting only the distinct ones).

The product of its (nonzero) digits is 6322176, while the sum is 54.

The spelling of 407478670146 in words is "four hundred seven billion, four hundred seventy-eight million, six hundred seventy thousand, one hundred forty-six".