70461300 has 288 divisors, whose sum is σ = 262483200. Its totient is φ = 14192640.

The previous prime is 70461299. The next prime is 70461301. The reversal of 70461300 is 316407.

It is an interprime number because it is at equal distance from previous prime (70461299) and next prime (70461301).

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (70461301) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 791656 + ... + 791744.

It is an arithmetic number, because the mean of its divisors is an integer number (911400).

Almost surely, 2^70461300 is an apocalyptic number.

70461300 is a gapful number since it is divisible by the number (70) 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 70461300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (131241600).

70461300 is an abundant number, since it is smaller than the sum of its proper divisors (192021900).

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

70461300 is a wasteful number, since it uses less digits than its factorization.

70461300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 155 (or 148 counting only the distinct ones).

The product of its (nonzero) digits is 504, while the sum is 21.

The square root of 70461300 is about 8394.1229440603. The cubic root of 70461300 is about 413.0318575718.

Adding to 70461300 its reverse (316407), we get a palindrome (70777707).

The spelling of 70461300 in words is "seventy million, four hundred sixty-one thousand, three hundred".