70466400 has 108 divisors (see below), whose sum is σ = 248507532. Its totient is φ = 18789120.

The previous prime is 70466399. The next prime is 70466401. The reversal of 70466400 is 466407.

It is an interprime number because it is at equal distance from previous prime (70466399) and next prime (70466401).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (70466401) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 2307 + ... + 12093.

Almost surely, 2^70466400 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 70466400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (124253766).

70466400 is an abundant number, since it is smaller than the sum of its proper divisors (178041132).

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

70466400 is a wasteful number, since it uses less digits than its factorization.

70466400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9813 (or 9797 counting only the distinct ones).

The product of its (nonzero) digits is 4032, while the sum is 27.

The square root of 70466400 is about 8394.4267225344. The cubic root of 70466400 is about 413.0418224350.

The spelling of 70466400 in words is "seventy million, four hundred sixty-six thousand, four hundred".