1493341920 has 672 divisors, whose sum is σ = 6346045440. Its totient is φ = 324725760.

The previous prime is 1493341919. The next prime is 1493341937. The reversal of 1493341920 is 291433941.

1493341920 = 149³ + 150³ + ... + 283³.

It is a tau number, because it is divible by the number of its divisors (672).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 111 ways as a sum of consecutive naturals, for example, 25310851 + ... + 25310909.

It is an arithmetic number, because the mean of its divisors is an integer number (9443520).

Almost surely, 2^1493341920 is an apocalyptic number.

1493341920 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 1493341920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3173022720).

1493341920 is an abundant number, since it is smaller than the sum of its proper divisors (4852703520).

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

1493341920 is an equidigital number, since it uses as much as digits as its factorization.

1493341920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 130 (or 107 counting only the distinct ones).

The product of its (nonzero) digits is 23328, while the sum is 36.

The square root of 1493341920 is about 38643.7824235672. The cubic root of 1493341920 is about 1143.0180417513.

The spelling of 1493341920 in words is "one billion, four hundred ninety-three million, three hundred forty-one thousand, nine hundred twenty".