407671002 has 64 divisors (see below), whose sum is σ = 927360000. Its totient is φ = 132709104.

The previous prime is 407670979. The next prime is 407671031. The reversal of 407671002 is 200176704.

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 31 ways as a sum of consecutive naturals, for example, 633693 + ... + 634335.

It is an arithmetic number, because the mean of its divisors is an integer number (14490000).

Almost surely, 2^407671002 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 407671002, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (463680000).

407671002 is an abundant number, since it is smaller than the sum of its proper divisors (519688998).

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

407671002 is a wasteful number, since it uses less digits than its factorization.

407671002 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 912 (or 906 counting only the distinct ones).

The product of its (nonzero) digits is 2352, while the sum is 27.

The square root of 407671002 is about 20190.8643202811. The cubic root of 407671002 is about 741.4865430583.

It can be divided in two parts, 4076 and 71002, that added together give a triangular number (75078 = T₃₈₇).

The spelling of 407671002 in words is "four hundred seven million, six hundred seventy-one thousand, two".