1007470380 has 288 divisors, whose sum is σ = 3508033536. Its totient is φ = 214900224.

The previous prime is 1007470313. The next prime is 1007470381. The reversal of 1007470380 is 830747001.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is not an unprimeable number, because it can be changed into a prime (1007470381) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 3177982 + ... + 3178298.

It is an arithmetic number, because the mean of its divisors is an integer number (12180672).

Almost surely, 2^1007470380 is an apocalyptic number.

1007470380 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 1007470380, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1754016768).

1007470380 is an abundant number, since it is smaller than the sum of its proper divisors (2500563156).

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

1007470380 is a wasteful number, since it uses less digits than its factorization.

1007470380 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 413 (or 404 counting only the distinct ones).

The product of its (nonzero) digits is 4704, while the sum is 30.

The square root of 1007470380 is about 31740.6739058893. The cubic root of 1007470380 is about 1002.4839515427.

The spelling of 1007470380 in words is "one billion, seven million, four hundred seventy thousand, three hundred eighty".