740480400 has 480 divisors, whose sum is σ = 3011235840. Its totient is φ = 171072000.

The previous prime is 740480399. The next prime is 740480401. The reversal of 740480400 is 4084047.

It is an interprime number because it is at equal distance from previous prime (740480399) and next prime (740480401).

It is a super-2 number, since 2×740480400² = 1096622445568320000, which contains 22 as substring.

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (740480401) 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, 2732265 + ... + 2732535.

It is an arithmetic number, because the mean of its divisors is an integer number (6273408).

Almost surely, 2^740480400 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 740480400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1505617920).

740480400 is an abundant number, since it is smaller than the sum of its proper divisors (2270755440).

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

740480400 is a wasteful number, since it uses less digits than its factorization.

740480400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 332 (or 315 counting only the distinct ones).

The product of its (nonzero) digits is 3584, while the sum is 27.

The square root of 740480400 is about 27211.7695124738. The cubic root of 740480400 is about 904.6998587536.

The spelling of 740480400 in words is "seven hundred forty million, four hundred eighty thousand, four hundred".