1430761920 has 224 divisors, whose sum is σ = 5417929728. Its totient is φ = 312778752.

The previous prime is 1430761909. The next prime is 1430761961. The reversal of 1430761920 is 291670341.

It is a tau number, because it is divible by the number of its divisors (224).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 149932 + ... + 159188.

Almost surely, 2^1430761920 is an apocalyptic number.

1430761920 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 1430761920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2708964864).

1430761920 is an abundant number, since it is smaller than the sum of its proper divisors (3987167808).

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

1430761920 is a wasteful number, since it uses less digits than its factorization.

1430761920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9307 (or 9297 counting only the distinct ones).

The product of its (nonzero) digits is 9072, while the sum is 33.

The square root of 1430761920 is about 37825.4136791655. The cubic root of 1430761920 is about 1126.8232282850.

The spelling of 1430761920 in words is "one billion, four hundred thirty million, seven hundred sixty-one thousand, nine hundred twenty".