1954524480 has 112 divisors (see below), whose sum is σ = 6233647680. Its totient is φ = 518852608.

The previous prime is 1954524463. The next prime is 1954524497. The reversal of 1954524480 is 844254591.

It is an interprime number because it is at equal distance from previous prime (1954524463) and next prime (1954524497).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 213436 + ... + 222404.

Almost surely, 2^1954524480 is an apocalyptic number.

1954524480 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 1954524480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3116823840).

1954524480 is an abundant number, since it is smaller than the sum of its proper divisors (4279123200).

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

1954524480 is a wasteful number, since it uses less digits than its factorization.

1954524480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9216 (or 9206 counting only the distinct ones).

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

The square root of 1954524480 is about 44210.0042976700. The cubic root of 1954524480 is about 1250.2984844533.

The spelling of 1954524480 in words is "one billion, nine hundred fifty-four million, five hundred twenty-four thousand, four hundred eighty".