741468000 has 576 divisors, whose sum is σ = 3074355648. Its totient is φ = 154828800.

The previous prime is 741467999. The next prime is 741468011. The reversal of 741468000 is 864147.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 7643952 + ... + 7644048.

It is an arithmetic number, because the mean of its divisors is an integer number (5337423).

Almost surely, 2^741468000 is an apocalyptic number.

741468000 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 741468000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1537177824).

741468000 is an abundant number, since it is smaller than the sum of its proper divisors (2332887648).

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

741468000 is a wasteful number, since it uses less digits than its factorization.

741468000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 152 (or 127 counting only the distinct ones).

The product of its (nonzero) digits is 5376, while the sum is 30.

The square root of 741468000 is about 27229.9100255583. The cubic root of 741468000 is about 905.1018881451.

The spelling of 741468000 in words is "seven hundred forty-one million, four hundred sixty-eight thousand".