1029494004 has 192 divisors, whose sum is σ = 3126853632. Its totient is φ = 255830400.

The previous prime is 1029493999. The next prime is 1029494027. The reversal of 1029494004 is 4004949201.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 3637647 + ... + 3637929.

It is an arithmetic number, because the mean of its divisors is an integer number (16285696).

Almost surely, 2^1029494004 is an apocalyptic number.

1029494004 is a gapful number since it is divisible by the number (14) 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 1029494004, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1563426816).

1029494004 is an abundant number, since it is smaller than the sum of its proper divisors (2097359628).

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

1029494004 is a wasteful number, since it uses less digits than its factorization.

1029494004 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 466 (or 464 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 33.

The square root of 1029494004 is about 32085.7289772260. The cubic root of 1029494004 is about 1009.7362327915.

It can be divided in two parts, 102949 and 4004, that added together give a triangular number (106953 = T₄₆₂).

The spelling of 1029494004 in words is "one billion, twenty-nine million, four hundred ninety-four thousand, four".