1954098432 has 360 divisors, whose sum is σ = 6855821280. Its totient is φ = 545771520.

The previous prime is 1954098431. The next prime is 1954098457. The reversal of 1954098432 is 2348904591.

1954098432 is a `hidden beast` number, since 1 + 95 + 40 + 98 + 432 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1954098431) by changing a digit.

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 39 ways as a sum of consecutive naturals, for example, 2964919 + ... + 2965577.

It is an arithmetic number, because the mean of its divisors is an integer number (19043948).

Almost surely, 2^1954098432 is an apocalyptic number.

1954098432 is a gapful number since it is divisible by the number (12) 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 1954098432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3427910640).

1954098432 is an abundant number, since it is smaller than the sum of its proper divisors (4901722848).

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

1954098432 is a wasteful number, since it uses less digits than its factorization.

1954098432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 711 (or 688 counting only the distinct ones).

The product of its (nonzero) digits is 311040, while the sum is 45.

The square root of 1954098432 is about 44205.1855781649. The cubic root of 1954098432 is about 1250.2076310029.

It can be divided in two parts, 195409 and 8432, that added together give a triangular number (203841 = T₆₃₈).

The spelling of 1954098432 in words is "one billion, nine hundred fifty-four million, ninety-eight thousand, four hundred thirty-two".