1029363498 has 128 divisors (see below), whose sum is σ = 2514758400. Its totient is φ = 310818816.

The previous prime is 1029363479. The next prime is 1029363499. The reversal of 1029363498 is 8943639201.

It is a happy number.

1029363498 is a `hidden beast` number, since 1 + 0 + 2 + 9 + 3 + 634 + 9 + 8 = 666.

It is a super-3 number, since 3×1029363498³ (a number of 28 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (1029363499) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 3513040 + ... + 3513332.

It is an arithmetic number, because the mean of its divisors is an integer number (19646550).

Almost surely, 2^1029363498 is an apocalyptic number.

1029363498 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 1029363498, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1257379200).

1029363498 is an abundant number, since it is smaller than the sum of its proper divisors (1485394902).

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

1029363498 is a wasteful number, since it uses less digits than its factorization.

1029363498 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 453 (or 447 counting only the distinct ones).

The product of its (nonzero) digits is 279936, while the sum is 45.

The square root of 1029363498 is about 32083.6952048856. The cubic root of 1029363498 is about 1009.6935638671.

It can be divided in two parts, 102 and 9363498, that added together give a square (9363600 = 3060²).

The spelling of 1029363498 in words is "one billion, twenty-nine million, three hundred sixty-three thousand, four hundred ninety-eight".