1046384640 has 312 divisors, whose sum is σ = 4150281408. Its totient is φ = 238878720.

The previous prime is 1046384611. The next prime is 1046384653. The reversal of 1046384640 is 464836401.

1046384640 is a `hidden beast` number, since 1 + 0 + 4 + 6 + 3 + 8 + 4 + 640 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 1046384595 and 1046384604.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1289835 + ... + 1290645.

It is an arithmetic number, because the mean of its divisors is an integer number (13302184).

Almost surely, 2^1046384640 is an apocalyptic number.

1046384640 is a gapful number since it is divisible by the number (10) 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 1046384640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2075140704).

1046384640 is an abundant number, since it is smaller than the sum of its proper divisors (3103896768).

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

1046384640 is an equidigital number, since it uses as much as digits as its factorization.

1046384640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 853 (or 828 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 36.

The square root of 1046384640 is about 32347.8691724818. The cubic root of 1046384640 is about 1015.2284633786.

It can be divided in two parts, 104638 and 4640, that added together give a triangular number (109278 = T₄₆₇).

The spelling of 1046384640 in words is "one billion, forty-six million, three hundred eighty-four thousand, six hundred forty".