1007478900 has 108 divisors (see below), whose sum is σ = 3196170432. Its totient is φ = 265404480.

The previous prime is 1007478851. The next prime is 1007478931. The reversal of 1007478900 is 98747001.

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 35 ways as a sum of consecutive naturals, for example, 67957 + ... + 81443.

Almost surely, 2^1007478900 is an apocalyptic number.

1007478900 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 1007478900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1598085216).

1007478900 is an abundant number, since it is smaller than the sum of its proper divisors (2188691532).

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

1007478900 is a wasteful number, since it uses less digits than its factorization.

1007478900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13590 (or 13580 counting only the distinct ones).

The product of its (nonzero) digits is 14112, while the sum is 36.

The square root of 1007478900 is about 31740.8081182569. The cubic root of 1007478900 is about 1002.4867774783.

The spelling of 1007478900 in words is "one billion, seven million, four hundred seventy-eight thousand, nine hundred".