1430461900 has 108 divisors (see below), whose sum is σ = 3625502328. Its totient is φ = 488463360.

The previous prime is 1430461897. The next prime is 1430461913. The reversal of 1430461900 is 91640341.

It is a super-2 number, since 2×1430461900² = 4092442494703220000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 1729287 + ... + 1730113.

It is an arithmetic number, because the mean of its divisors is an integer number (33569466).

Almost surely, 2^1430461900 is an apocalyptic number.

1430461900 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 1430461900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1812751164).

1430461900 is an abundant number, since it is smaller than the sum of its proper divisors (2195040428).

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

1430461900 is a wasteful number, since it uses less digits than its factorization.

1430461900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1208 (or 1194 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 28.

The square root of 1430461900 is about 37821.4476190428. The cubic root of 1430461900 is about 1126.7444606640.

The spelling of 1430461900 in words is "one billion, four hundred thirty million, four hundred sixty-one thousand, nine hundred".