1948601424 has 360 divisors, whose sum is σ = 6632950464. Its totient is φ = 490828800.

The previous prime is 1948601407. The next prime is 1948601467. The reversal of 1948601424 is 4241068491.

It is a super-2 number, since 2×1948601424² = 7594095019229655552, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 11668189 + ... + 11668355.

Almost surely, 2^1948601424 is an apocalyptic number.

1948601424 is a gapful number since it is divisible by the number (14) 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 1948601424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3316475232).

1948601424 is an abundant number, since it is smaller than the sum of its proper divisors (4684349040).

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

1948601424 is a wasteful number, since it uses less digits than its factorization.

1948601424 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 255 (or 231 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 39.

The square root of 1948601424 is about 44142.9657363435. The cubic root of 1948601424 is about 1249.0342244676.

The spelling of 1948601424 in words is "one billion, nine hundred forty-eight million, six hundred one thousand, four hundred twenty-four".