1949460480 has 384 divisors, whose sum is σ = 7571491200. Its totient is φ = 471859200.

The previous prime is 1949460479. The next prime is 1949460481. The reversal of 1949460480 is 840649491.

It is an interprime number because it is at equal distance from previous prime (1949460479) and next prime (1949460481).

It is a tau number, because it is divible by the number of its divisors (384).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1949460481) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3040960 + ... + 3041600.

It is an arithmetic number, because the mean of its divisors is an integer number (19717425).

Almost surely, 2^1949460480 is an apocalyptic number.

1949460480 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 1949460480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3785745600).

1949460480 is an abundant number, since it is smaller than the sum of its proper divisors (5622030720).

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

1949460480 is a wasteful number, since it uses less digits than its factorization.

1949460480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 688 (or 662 counting only the distinct ones).

The product of its (nonzero) digits is 248832, while the sum is 45.

The square root of 1949460480 is about 44152.6950479809. The cubic root of 1949460480 is about 1249.2177462988.

The spelling of 1949460480 in words is "one billion, nine hundred forty-nine million, four hundred sixty thousand, four hundred eighty".