1424977920 has 260 divisors, whose sum is σ = 5114132760. Its totient is φ = 379551744.

The previous prime is 1424977889. The next prime is 1424977937. The reversal of 1424977920 is 297794241.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (45).

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 19 ways as a sum of consecutive naturals, for example, 1658451 + ... + 1659309.

Almost surely, 2^1424977920 is an apocalyptic number.

1424977920 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 1424977920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2557066380).

1424977920 is an abundant number, since it is smaller than the sum of its proper divisors (3689154840).

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

1424977920 is an frugal number, since it uses more digits than its factorization.

1424977920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 900 (or 869 counting only the distinct ones).

The product of its (nonzero) digits is 254016, while the sum is 45.

The square root of 1424977920 is about 37748.8797184764. The cubic root of 1424977920 is about 1125.3027451886.

The spelling of 1424977920 in words is "one billion, four hundred twenty-four million, nine hundred seventy-seven thousand, nine hundred twenty".