1004924340 has 288 divisors, whose sum is σ = 3674885760. Its totient is φ = 227308032.

The previous prime is 1004924321. The next prime is 1004924353. The reversal of 1004924340 is 434294001.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 4312864 + ... + 4313096.

It is an arithmetic number, because the mean of its divisors is an integer number (12760020).

Almost surely, 2^1004924340 is an apocalyptic number.

1004924340 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 1004924340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1837442880).

1004924340 is an abundant number, since it is smaller than the sum of its proper divisors (2669961420).

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

1004924340 is a wasteful number, since it uses less digits than its factorization.

1004924340 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 428 (or 413 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

The square root of 1004924340 is about 31700.5416357513. The cubic root of 1004924340 is about 1001.6387596664.

The spelling of 1004924340 in words is "one billion, four million, nine hundred twenty-four thousand, three hundred forty".