407784996 has 96 divisors (see below), whose sum is σ = 1089137280. Its totient is φ = 131870592.

The previous prime is 407784989. The next prime is 407784997. The reversal of 407784996 is 699487704.

It is a happy number.

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

It is not an unprimeable number, because it can be changed into a prime (407784997) 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, 1286230 + ... + 1286546.

It is an arithmetic number, because the mean of its divisors is an integer number (11345180).

Almost surely, 2^407784996 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 407784996, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (544568640).

407784996 is an abundant number, since it is smaller than the sum of its proper divisors (681352284).

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

407784996 is a wasteful number, since it uses less digits than its factorization.

407784996 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 650 (or 642 counting only the distinct ones).

The product of its (nonzero) digits is 3048192, while the sum is 54.

The square root of 407784996 is about 20193.6870333280. The cubic root of 407784996 is about 741.5556487338. Note that the first 3 decimals are identical.

The spelling of 407784996 in words is "four hundred seven million, seven hundred eighty-four thousand, nine hundred ninety-six".