1005629464 has 16 divisors (see below), whose sum is σ = 2154920400. Its totient is φ = 430984032.

The previous prime is 1005629447. The next prime is 1005629467. The reversal of 1005629464 is 4649265001.

It is a super-2 number, since 2×1005629464² = 2022581237729854592, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1005629467) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 8978779 + ... + 8978890.

It is an arithmetic number, because the mean of its divisors is an integer number (134682525).

Almost surely, 2^1005629464 is an apocalyptic number.

1005629464 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

1005629464 is an abundant number, since it is smaller than the sum of its proper divisors (1149290936).

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

1005629464 is a wasteful number, since it uses less digits than its factorization.

1005629464 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17957682 (or 17957678 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 37.

The square root of 1005629464 is about 31711.6613251340. The cubic root of 1005629464 is about 1001.8729777641.

The spelling of 1005629464 in words is "one billion, five million, six hundred twenty-nine thousand, four hundred sixty-four".