1954452480 has 352 divisors, whose sum is σ = 6795384960. Its totient is φ = 477757440.

The previous prime is 1954452473. The next prime is 1954452527. The reversal of 1954452480 is 842544591.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 10797990 + ... + 10798170.

Almost surely, 2^1954452480 is an apocalyptic number.

1954452480 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 1954452480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3397692480).

1954452480 is an abundant number, since it is smaller than the sum of its proper divisors (4840932480).

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

1954452480 is a wasteful number, since it uses less digits than its factorization.

1954452480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 265 (or 247 counting only the distinct ones).

The product of its (nonzero) digits is 230400, while the sum is 42.

The square root of 1954452480 is about 44209.1899948416. The cubic root of 1954452480 is about 1250.2831315977.

The spelling of 1954452480 in words is "one billion, nine hundred fifty-four million, four hundred fifty-two thousand, four hundred eighty".