1046629440 has 336 divisors, whose sum is σ = 3918021120. Its totient is φ = 255467520.

The previous prime is 1046629433. The next prime is 1046629469. The reversal of 1046629440 is 449266401.

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 = 1046629395 and 1046629404.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1696012 + ... + 1696628.

Almost surely, 2^1046629440 is an apocalyptic number.

1046629440 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 1046629440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1959010560).

1046629440 is an abundant number, since it is smaller than the sum of its proper divisors (2871391680).

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

1046629440 is a wasteful number, since it uses less digits than its factorization.

1046629440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 690 (or 677 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 36.

The square root of 1046629440 is about 32351.6528171282. The cubic root of 1046629440 is about 1015.3076275597.

The spelling of 1046629440 in words is "one billion, forty-six million, six hundred twenty-nine thousand, four hundred forty".