1430248820 has 192 divisors, whose sum is σ = 4064256000. Its totient is φ = 408291840.

The previous prime is 1430248819. The next prime is 1430248823. The reversal of 1430248820 is 288420341.

It is a super-2 number, since 2×1430248820² = 4091223374222784800, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1430248823) 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, 3983801 + ... + 3984159.

It is an arithmetic number, because the mean of its divisors is an integer number (21168000).

Almost surely, 2^1430248820 is an apocalyptic number.

1430248820 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 1430248820, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2032128000).

1430248820 is an abundant number, since it is smaller than the sum of its proper divisors (2634007180).

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

1430248820 is a wasteful number, since it uses less digits than its factorization.

1430248820 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 598 (or 596 counting only the distinct ones).

The product of its (nonzero) digits is 12288, while the sum is 32.

The square root of 1430248820 is about 37818.6305939282. The cubic root of 1430248820 is about 1126.6885116889.

The spelling of 1430248820 in words is "one billion, four hundred thirty million, two hundred forty-eight thousand, eight hundred twenty".