1029402972 has 288 divisors, whose sum is σ = 3177081600. Its totient is φ = 286239744.

The previous prime is 1029402967. The next prime is 1029403027. The reversal of 1029402972 is 2792049201.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 17447479 + ... + 17447537.

Almost surely, 2^1029402972 is an apocalyptic number.

1029402972 is a gapful number since it is divisible by the number (12) 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 1029402972, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1588540800).

1029402972 is an abundant number, since it is smaller than the sum of its proper divisors (2147678628).

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

1029402972 is a wasteful number, since it uses less digits than its factorization.

1029402972 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 162 (or 137 counting only the distinct ones).

The product of its (nonzero) digits is 18144, while the sum is 36.

The square root of 1029402972 is about 32084.3103712703. The cubic root of 1029402972 is about 1009.7064702681.

The spelling of 1029402972 in words is "one billion, twenty-nine million, four hundred two thousand, nine hundred seventy-two".