1978458300 has 864 divisors, whose sum is σ = 8530704000. Its totient is φ = 379330560.

The previous prime is 1978458281. The next prime is 1978458311. The reversal of 1978458300 is 38548791.

1978458300 is a `hidden beast` number, since 197 + 8 + 458 + 3 + 0 + 0 = 666.

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 polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 68222686 + ... + 68222714.

It is an arithmetic number, because the mean of its divisors is an integer number (9873500).

Almost surely, 2^1978458300 is an apocalyptic number.

1978458300 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 1978458300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4265352000).

1978458300 is an abundant number, since it is smaller than the sum of its proper divisors (6552245700).

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

1978458300 is a wasteful number, since it uses less digits than its factorization.

1978458300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 100 (or 76 counting only the distinct ones).

The product of its (nonzero) digits is 241920, while the sum is 45.

The square root of 1978458300 is about 44479.8639836050. The cubic root of 1978458300 is about 1255.3812379128.

The spelling of 1978458300 in words is "one billion, nine hundred seventy-eight million, four hundred fifty-eight thousand, three hundred".