1029466800 has 240 divisors, whose sum is σ = 3690240000. Its totient is φ = 272574720.

The previous prime is 1029466793. The next prime is 1029466819. The reversal of 1029466800 is 86649201.

It is a tau number, because it is divible by the number of its divisors (240).

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

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, 2148961 + ... + 2149439.

It is an arithmetic number, because the mean of its divisors is an integer number (15376000).

Almost surely, 2^1029466800 is an apocalyptic number.

1029466800 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 1029466800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1845120000).

1029466800 is an abundant number, since it is smaller than the sum of its proper divisors (2660773200).

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

1029466800 is a wasteful number, since it uses less digits than its factorization.

1029466800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 705 (or 688 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 36.

The square root of 1029466800 is about 32085.3050476382. The cubic root of 1029466800 is about 1009.7273387437.

It can be divided in two parts, 102946 and 6800, that added together give a triangular number (109746 = T₄₆₈).

The spelling of 1029466800 in words is "one billion, twenty-nine million, four hundred sixty-six thousand, eight hundred".