407887896 has 128 divisors (see below), whose sum is σ = 1171296000. Its totient is φ = 117324288.

The previous prime is 407887891. The next prime is 407887903. The reversal of 407887896 is 698788704.

It is a Harshad number since it is a multiple of its sum of digits (57).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (407887891) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 491610 + ... + 492438.

It is an arithmetic number, because the mean of its divisors is an integer number (9150750).

Almost surely, 2^407887896 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 407887896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (585648000).

407887896 is an abundant number, since it is smaller than the sum of its proper divisors (763408104).

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

407887896 is a wasteful number, since it uses less digits than its factorization.

407887896 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 953 (or 949 counting only the distinct ones).

The product of its (nonzero) digits is 5419008, while the sum is 57.

The square root of 407887896 is about 20196.2346985769. The cubic root of 407887896 is about 741.6180179231.

It can be divided in two parts, 40788 and 7896, that added together give a palindrome (48684).

The spelling of 407887896 in words is "four hundred seven million, eight hundred eighty-seven thousand, eight hundred ninety-six".