1906452480 has 192 divisors, whose sum is σ = 6148396800. Its totient is φ = 504299520.

The previous prime is 1906452469. The next prime is 1906452503. The reversal of 1906452480 is 842546091.

It is a tau number, because it is divible by the number of its divisors (192).

It is a super-2 number, since 2×1906452480² = 7269122116996300800, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 7034745 + ... + 7035015.

It is an arithmetic number, because the mean of its divisors is an integer number (32022900).

Almost surely, 2^1906452480 is an apocalyptic number.

1906452480 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 1906452480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3074198400).

1906452480 is an abundant number, since it is smaller than the sum of its proper divisors (4241944320).

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

1906452480 is a wasteful number, since it uses less digits than its factorization.

1906452480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 530 (or 510 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 39.

The square root of 1906452480 is about 43662.9417240753. The cubic root of 1906452480 is about 1239.9628153955.

The spelling of 1906452480 in words is "one billion, nine hundred six million, four hundred fifty-two thousand, four hundred eighty".